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Finding the Fourth Proportional to 83,535, 115,277.04 and 45,293.46

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Solution

The fourth proportional to 83,535, 115,277.04 and 45,293.46 is: 62,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,535 : 115,277.04 = 45,293.46 : x
  2. Step 2: Convert to fraction form
    83,535/115,277.04 = 45,293.46/x
  3. Step 3: Cross multiply
    83,535x = 115,277.04 × 45,293.46
  4. Step 4: Simplify right side
    83,535x = 5,221,296,000.16
  5. Step 5: Solve for x
    x = 5,221,296,000.16/83,535
  6. Step 6: Final answer
    x = 62,504.29

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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.