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Finding the Fourth Proportional to 65,148.87, 97,624.89 and 48,430.47

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Solution

The fourth proportional to 65,148.87, 97,624.89 and 48,430.47 is: 72,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.87 : 97,624.89 = 48,430.47 : x
  2. Step 2: Convert to fraction form
    65,148.87/97,624.89 = 48,430.47/x
  3. Step 3: Cross multiply
    65,148.87x = 97,624.89 × 48,430.47
  4. Step 4: Simplify right side
    65,148.87x = 4,728,019,306.40
  5. Step 5: Solve for x
    x = 4,728,019,306.40/65,148.87
  6. Step 6: Final answer
    x = 72,572.55

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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.