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Finding the Fourth Proportional to 83,125.88, 114,710.40 and 46,826.48

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Solution

The fourth proportional to 83,125.88, 114,710.40 and 46,826.48 is: 64,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,125.88 : 114,710.40 = 46,826.48 : x
  2. Step 2: Convert to fraction form
    83,125.88/114,710.40 = 46,826.48/x
  3. Step 3: Cross multiply
    83,125.88x = 114,710.40 × 46,826.48
  4. Step 4: Simplify right side
    83,125.88x = 5,371,484,251.39
  5. Step 5: Solve for x
    x = 5,371,484,251.39/83,125.88
  6. Step 6: Final answer
    x = 64,618.68

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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.