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Finding the Fourth Proportional to 83,421.84, 115,129.22 and 47,129.95

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Solution

The fourth proportional to 83,421.84, 115,129.22 and 47,129.95 is: 65,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421.84 : 115,129.22 = 47,129.95 : x
  2. Step 2: Convert to fraction form
    83,421.84/115,129.22 = 47,129.95/x
  3. Step 3: Cross multiply
    83,421.84x = 115,129.22 × 47,129.95
  4. Step 4: Simplify right side
    83,421.84x = 5,426,034,688.06
  5. Step 5: Solve for x
    x = 5,426,034,688.06/83,421.84
  6. Step 6: Final answer
    x = 65,043.34

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