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Finding the Fourth Proportional to 53,402, 73,691.88 and 29,527.28

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Solution

The fourth proportional to 53,402, 73,691.88 and 29,527.28 is: 40,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,402 : 73,691.88 = 29,527.28 : x
  2. Step 2: Convert to fraction form
    53,402/73,691.88 = 29,527.28/x
  3. Step 3: Cross multiply
    53,402x = 73,691.88 × 29,527.28
  4. Step 4: Simplify right side
    53,402x = 2,175,920,774.49
  5. Step 5: Solve for x
    x = 2,175,920,774.49/53,402
  6. Step 6: Final answer
    x = 40,746.05

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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.