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Finding the Fourth Proportional to 44,719.76, 61,702.44 and 24,847.76

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Solution

The fourth proportional to 44,719.76, 61,702.44 and 24,847.76 is: 34,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,719.76 : 61,702.44 = 24,847.76 : x
  2. Step 2: Convert to fraction form
    44,719.76/61,702.44 = 24,847.76/x
  3. Step 3: Cross multiply
    44,719.76x = 61,702.44 × 24,847.76
  4. Step 4: Simplify right side
    44,719.76x = 1,533,167,420.53
  5. Step 5: Solve for x
    x = 1,533,167,420.53/44,719.76
  6. Step 6: Final answer
    x = 34,283.89

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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.