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Finding the Fourth Proportional to 38,477.60, 57,763.20 and 24,437.60

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Solution

The fourth proportional to 38,477.60, 57,763.20 and 24,437.60 is: 36,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.60 : 57,763.20 = 24,437.60 : x
  2. Step 2: Convert to fraction form
    38,477.60/57,763.20 = 24,437.60/x
  3. Step 3: Cross multiply
    38,477.60x = 57,763.20 × 24,437.60
  4. Step 4: Simplify right side
    38,477.60x = 1,411,593,976.32
  5. Step 5: Solve for x
    x = 1,411,593,976.32/38,477.60
  6. Step 6: Final answer
    x = 36,686.12

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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.