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Finding the Fourth Proportional to 105,700.59, 145,865.14 and 57,954.33

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Solution

The fourth proportional to 105,700.59, 145,865.14 and 57,954.33 is: 79,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700.59 : 145,865.14 = 57,954.33 : x
  2. Step 2: Convert to fraction form
    105,700.59/145,865.14 = 57,954.33/x
  3. Step 3: Cross multiply
    105,700.59x = 145,865.14 × 57,954.33
  4. Step 4: Simplify right side
    105,700.59x = 8,453,516,314.17
  5. Step 5: Solve for x
    x = 8,453,516,314.17/105,700.59
  6. Step 6: Final answer
    x = 79,976.06

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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.