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Finding the Fourth Proportional to 67,457.60, 101,186.40 and 47,758.40

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Solution

The fourth proportional to 67,457.60, 101,186.40 and 47,758.40 is: 71,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,457.60 : 101,186.40 = 47,758.40 : x
  2. Step 2: Convert to fraction form
    67,457.60/101,186.40 = 47,758.40/x
  3. Step 3: Cross multiply
    67,457.60x = 101,186.40 × 47,758.40
  4. Step 4: Simplify right side
    67,457.60x = 4,832,500,565.76
  5. Step 5: Solve for x
    x = 4,832,500,565.76/67,457.60
  6. Step 6: Final answer
    x = 71,637.60

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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.