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Finding the Fourth Proportional to 72,454.40, 108,681.60 and 51,459.20

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Solution

The fourth proportional to 72,454.40, 108,681.60 and 51,459.20 is: 77,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.40 : 108,681.60 = 51,459.20 : x
  2. Step 2: Convert to fraction form
    72,454.40/108,681.60 = 51,459.20/x
  3. Step 3: Cross multiply
    72,454.40x = 108,681.60 × 51,459.20
  4. Step 4: Simplify right side
    72,454.40x = 5,592,668,190.72
  5. Step 5: Solve for x
    x = 5,592,668,190.72/72,454.40
  6. Step 6: Final answer
    x = 77,188.80

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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.