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Finding the Fourth Proportional to 83,139.39, 114,735.18 and 45,416.07

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Solution

The fourth proportional to 83,139.39, 114,735.18 and 45,416.07 is: 62,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,139.39 : 114,735.18 = 45,416.07 : x
  2. Step 2: Convert to fraction form
    83,139.39/114,735.18 = 45,416.07/x
  3. Step 3: Cross multiply
    83,139.39x = 114,735.18 × 45,416.07
  4. Step 4: Simplify right side
    83,139.39x = 5,210,820,966.34
  5. Step 5: Solve for x
    x = 5,210,820,966.34/83,139.39
  6. Step 6: Final answer
    x = 62,675.72

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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.