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Finding the Fourth Proportional to 105,458.95, 145,532.66 and 57,712.15

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Solution

The fourth proportional to 105,458.95, 145,532.66 and 57,712.15 is: 79,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458.95 : 145,532.66 = 57,712.15 : x
  2. Step 2: Convert to fraction form
    105,458.95/145,532.66 = 57,712.15/x
  3. Step 3: Cross multiply
    105,458.95x = 145,532.66 × 57,712.15
  4. Step 4: Simplify right side
    105,458.95x = 8,399,002,703.82
  5. Step 5: Solve for x
    x = 8,399,002,703.82/105,458.95
  6. Step 6: Final answer
    x = 79,642.39

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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.