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Finding the Fourth Proportional to 83,677.83, 115,475.40 and 45,437.19

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Solution

The fourth proportional to 83,677.83, 115,475.40 and 45,437.19 is: 62,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,677.83 : 115,475.40 = 45,437.19 : x
  2. Step 2: Convert to fraction form
    83,677.83/115,475.40 = 45,437.19/x
  3. Step 3: Cross multiply
    83,677.83x = 115,475.40 × 45,437.19
  4. Step 4: Simplify right side
    83,677.83x = 5,246,877,690.13
  5. Step 5: Solve for x
    x = 5,246,877,690.13/83,677.83
  6. Step 6: Final answer
    x = 62,703.32

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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.