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Finding the Fourth Proportional to 130,043.25, 195,064.88 and 36,549

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Solution

The fourth proportional to 130,043.25, 195,064.88 and 36,549 is: 54,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,043.25 : 195,064.88 = 36,549 : x
  2. Step 2: Convert to fraction form
    130,043.25/195,064.88 = 36,549/x
  3. Step 3: Cross multiply
    130,043.25x = 195,064.88 × 36,549
  4. Step 4: Simplify right side
    130,043.25x = 7,129,426,116.38
  5. Step 5: Solve for x
    x = 7,129,426,116.38/130,043.25
  6. Step 6: Final answer
    x = 54,823.50

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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.