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Finding the Fourth Proportional to 35,381.52, 53,073.12 and 11,681.52

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Solution

The fourth proportional to 35,381.52, 53,073.12 and 11,681.52 is: 17,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,381.52 : 53,073.12 = 11,681.52 : x
  2. Step 2: Convert to fraction form
    35,381.52/53,073.12 = 11,681.52/x
  3. Step 3: Cross multiply
    35,381.52x = 53,073.12 × 11,681.52
  4. Step 4: Simplify right side
    35,381.52x = 619,974,712.74
  5. Step 5: Solve for x
    x = 619,974,712.74/35,381.52
  6. Step 6: Final answer
    x = 17,522.56

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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.