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Finding the Fourth Proportional to 106,574.70, 147,062.62 and 58,824.98

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Solution

The fourth proportional to 106,574.70, 147,062.62 and 58,824.98 is: 81,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574.70 : 147,062.62 = 58,824.98 : x
  2. Step 2: Convert to fraction form
    106,574.70/147,062.62 = 58,824.98/x
  3. Step 3: Cross multiply
    106,574.70x = 147,062.62 × 58,824.98
  4. Step 4: Simplify right side
    106,574.70x = 8,650,955,569.95
  5. Step 5: Solve for x
    x = 8,650,955,569.95/106,574.70
  6. Step 6: Final answer
    x = 81,172.69

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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.