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Finding the Fourth Proportional to 102,824.40, 154,252.80 and 32,710.80

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Solution

The fourth proportional to 102,824.40, 154,252.80 and 32,710.80 is: 49,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,824.40 : 154,252.80 = 32,710.80 : x
  2. Step 2: Convert to fraction form
    102,824.40/154,252.80 = 32,710.80/x
  3. Step 3: Cross multiply
    102,824.40x = 154,252.80 × 32,710.80
  4. Step 4: Simplify right side
    102,824.40x = 5,045,732,490.24
  5. Step 5: Solve for x
    x = 5,045,732,490.24/102,824.40
  6. Step 6: Final answer
    x = 49,071.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.