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Finding the Fourth Proportional to 65,200.40, 97,931.88 and 63,362.96

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Solution

The fourth proportional to 65,200.40, 97,931.88 and 63,362.96 is: 95,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.40 : 97,931.88 = 63,362.96 : x
  2. Step 2: Convert to fraction form
    65,200.40/97,931.88 = 63,362.96/x
  3. Step 3: Cross multiply
    65,200.40x = 97,931.88 × 63,362.96
  4. Step 4: Simplify right side
    65,200.40x = 6,205,253,795.16
  5. Step 5: Solve for x
    x = 6,205,253,795.16/65,200.40
  6. Step 6: Final answer
    x = 95,172.02

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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.