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Finding the Fourth Proportional to 76,116.57, 105,092.55 and 47,447.70

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Solution

The fourth proportional to 76,116.57, 105,092.55 and 47,447.70 is: 65,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,116.57 : 105,092.55 = 47,447.70 : x
  2. Step 2: Convert to fraction form
    76,116.57/105,092.55 = 47,447.70/x
  3. Step 3: Cross multiply
    76,116.57x = 105,092.55 × 47,447.70
  4. Step 4: Simplify right side
    76,116.57x = 4,986,399,784.64
  5. Step 5: Solve for x
    x = 4,986,399,784.64/76,116.57
  6. Step 6: Final answer
    x = 65,510.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.