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Finding the Fourth Proportional to 83,295.61, 114,948.93 and 45,569.86

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Solution

The fourth proportional to 83,295.61, 114,948.93 and 45,569.86 is: 62,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.61 : 114,948.93 = 45,569.86 : x
  2. Step 2: Convert to fraction form
    83,295.61/114,948.93 = 45,569.86/x
  3. Step 3: Cross multiply
    83,295.61x = 114,948.93 × 45,569.86
  4. Step 4: Simplify right side
    83,295.61x = 5,238,206,647.25
  5. Step 5: Solve for x
    x = 5,238,206,647.25/83,295.61
  6. Step 6: Final answer
    x = 62,886.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.