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Finding the Fourth Proportional to 83,089.56, 114,666.12 and 47,284.73

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Solution

The fourth proportional to 83,089.56, 114,666.12 and 47,284.73 is: 65,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.56 : 114,666.12 = 47,284.73 : x
  2. Step 2: Convert to fraction form
    83,089.56/114,666.12 = 47,284.73/x
  3. Step 3: Cross multiply
    83,089.56x = 114,666.12 × 47,284.73
  4. Step 4: Simplify right side
    83,089.56x = 5,421,955,951.02
  5. Step 5: Solve for x
    x = 5,421,955,951.02/83,089.56
  6. Step 6: Final answer
    x = 65,254.36

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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.