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Finding the Fourth Proportional to 54,762.46, 75,569.05 and 30,887.71

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Solution

The fourth proportional to 54,762.46, 75,569.05 and 30,887.71 is: 42,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.46 : 75,569.05 = 30,887.71 : x
  2. Step 2: Convert to fraction form
    54,762.46/75,569.05 = 30,887.71/x
  3. Step 3: Cross multiply
    54,762.46x = 75,569.05 × 30,887.71
  4. Step 4: Simplify right side
    54,762.46x = 2,334,154,901.38
  5. Step 5: Solve for x
    x = 2,334,154,901.38/54,762.46
  6. Step 6: Final answer
    x = 42,623.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.