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Finding the Fourth Proportional to 64,140.80, 96,016.80 and 48,459.20

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Solution

The fourth proportional to 64,140.80, 96,016.80 and 48,459.20 is: 72,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,140.80 : 96,016.80 = 48,459.20 : x
  2. Step 2: Convert to fraction form
    64,140.80/96,016.80 = 48,459.20/x
  3. Step 3: Cross multiply
    64,140.80x = 96,016.80 × 48,459.20
  4. Step 4: Simplify right side
    64,140.80x = 4,652,897,314.56
  5. Step 5: Solve for x
    x = 4,652,897,314.56/64,140.80
  6. Step 6: Final answer
    x = 72,541.93

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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.