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Finding the Fourth Proportional to 106,532.84, 147,023.54 and 58,790.28

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Solution

The fourth proportional to 106,532.84, 147,023.54 and 58,790.28 is: 81,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532.84 : 147,023.54 = 58,790.28 : x
  2. Step 2: Convert to fraction form
    106,532.84/147,023.54 = 58,790.28/x
  3. Step 3: Cross multiply
    106,532.84x = 147,023.54 × 58,790.28
  4. Step 4: Simplify right side
    106,532.84x = 8,643,555,083.19
  5. Step 5: Solve for x
    x = 8,643,555,083.19/106,532.84
  6. Step 6: Final answer
    x = 81,135.12

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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.