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Finding the Fourth Proportional to 44,712, 61,702.56 and 24,840

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Solution

The fourth proportional to 44,712, 61,702.56 and 24,840 is: 34,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,712 : 61,702.56 = 24,840 : x
  2. Step 2: Convert to fraction form
    44,712/61,702.56 = 24,840/x
  3. Step 3: Cross multiply
    44,712x = 61,702.56 × 24,840
  4. Step 4: Simplify right side
    44,712x = 1,532,691,590.40
  5. Step 5: Solve for x
    x = 1,532,691,590.40/44,712
  6. Step 6: Final answer
    x = 34,279.20

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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.