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Finding the Fourth Proportional to 76,457.70, 114,686.55 and 60,711.30

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Solution

The fourth proportional to 76,457.70, 114,686.55 and 60,711.30 is: 91,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,457.70 : 114,686.55 = 60,711.30 : x
  2. Step 2: Convert to fraction form
    76,457.70/114,686.55 = 60,711.30/x
  3. Step 3: Cross multiply
    76,457.70x = 114,686.55 × 60,711.30
  4. Step 4: Simplify right side
    76,457.70x = 6,962,769,543.02
  5. Step 5: Solve for x
    x = 6,962,769,543.02/76,457.70
  6. Step 6: Final answer
    x = 91,066.95

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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.