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Finding the Fourth Proportional to 54,411.76, 75,038.02 and 36,272.89

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Solution

The fourth proportional to 54,411.76, 75,038.02 and 36,272.89 is: 50,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411.76 : 75,038.02 = 36,272.89 : x
  2. Step 2: Convert to fraction form
    54,411.76/75,038.02 = 36,272.89/x
  3. Step 3: Cross multiply
    54,411.76x = 75,038.02 × 36,272.89
  4. Step 4: Simplify right side
    54,411.76x = 2,721,845,845.28
  5. Step 5: Solve for x
    x = 2,721,845,845.28/54,411.76
  6. Step 6: Final answer
    x = 50,023.12

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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.