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Finding the Fourth Proportional to 32,232.16, 48,362.74 and 17,423.74

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Solution

The fourth proportional to 32,232.16, 48,362.74 and 17,423.74 is: 26,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.16 : 48,362.74 = 17,423.74 : x
  2. Step 2: Convert to fraction form
    32,232.16/48,362.74 = 17,423.74/x
  3. Step 3: Cross multiply
    32,232.16x = 48,362.74 × 17,423.74
  4. Step 4: Simplify right side
    32,232.16x = 842,659,807.45
  5. Step 5: Solve for x
    x = 842,659,807.45/32,232.16
  6. Step 6: Final answer
    x = 26,143.45

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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.