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Finding the Fourth Proportional to 83,298, 114,952.91 and 45,573.06

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Solution

The fourth proportional to 83,298, 114,952.91 and 45,573.06 is: 62,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,298 : 114,952.91 = 45,573.06 : x
  2. Step 2: Convert to fraction form
    83,298/114,952.91 = 45,573.06/x
  3. Step 3: Cross multiply
    83,298x = 114,952.91 × 45,573.06
  4. Step 4: Simplify right side
    83,298x = 5,238,755,636.74
  5. Step 5: Solve for x
    x = 5,238,755,636.74/83,298
  6. Step 6: Final answer
    x = 62,891.73

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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.