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Finding the Fourth Proportional to 106,574.75, 147,073.17 and 58,828.11

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Solution

The fourth proportional to 106,574.75, 147,073.17 and 58,828.11 is: 81,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574.75 : 147,073.17 = 58,828.11 : x
  2. Step 2: Convert to fraction form
    106,574.75/147,073.17 = 58,828.11/x
  3. Step 3: Cross multiply
    106,574.75x = 147,073.17 × 58,828.11
  4. Step 4: Simplify right side
    106,574.75x = 8,652,036,622.81
  5. Step 5: Solve for x
    x = 8,652,036,622.81/106,574.75
  6. Step 6: Final answer
    x = 81,182.80

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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.