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Finding the Fourth Proportional to 83,121, 124,598.35 and 29,798.47

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Solution

The fourth proportional to 83,121, 124,598.35 and 29,798.47 is: 44,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121 : 124,598.35 = 29,798.47 : x
  2. Step 2: Convert to fraction form
    83,121/124,598.35 = 29,798.47/x
  3. Step 3: Cross multiply
    83,121x = 124,598.35 × 29,798.47
  4. Step 4: Simplify right side
    83,121x = 3,712,840,194.52
  5. Step 5: Solve for x
    x = 3,712,840,194.52/83,121
  6. Step 6: Final answer
    x = 44,667.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.