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Finding the Fourth Proportional to 81,862.83, 112,970.54 and 46,052.87

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Solution

The fourth proportional to 81,862.83, 112,970.54 and 46,052.87 is: 63,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.83 : 112,970.54 = 46,052.87 : x
  2. Step 2: Convert to fraction form
    81,862.83/112,970.54 = 46,052.87/x
  3. Step 3: Cross multiply
    81,862.83x = 112,970.54 × 46,052.87
  4. Step 4: Simplify right side
    81,862.83x = 5,202,617,592.45
  5. Step 5: Solve for x
    x = 5,202,617,592.45/81,862.83
  6. Step 6: Final answer
    x = 63,552.87

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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.