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Finding the Fourth Proportional to 54,838.68, 75,677.04 and 29,688

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Solution

The fourth proportional to 54,838.68, 75,677.04 and 29,688 is: 40,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.68 : 75,677.04 = 29,688 : x
  2. Step 2: Convert to fraction form
    54,838.68/75,677.04 = 29,688/x
  3. Step 3: Cross multiply
    54,838.68x = 75,677.04 × 29,688
  4. Step 4: Simplify right side
    54,838.68x = 2,246,699,963.52
  5. Step 5: Solve for x
    x = 2,246,699,963.52/54,838.68
  6. Step 6: Final answer
    x = 40,969.26

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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.