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Finding the Fourth Proportional to 65,137.56, 97,702.56 and 25,148.76

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Solution

The fourth proportional to 65,137.56, 97,702.56 and 25,148.76 is: 37,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.56 : 97,702.56 = 25,148.76 : x
  2. Step 2: Convert to fraction form
    65,137.56/97,702.56 = 25,148.76/x
  3. Step 3: Cross multiply
    65,137.56x = 97,702.56 × 25,148.76
  4. Step 4: Simplify right side
    65,137.56x = 2,457,098,232.83
  5. Step 5: Solve for x
    x = 2,457,098,232.83/65,137.56
  6. Step 6: Final answer
    x = 37,721.68

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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.