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Finding the Fourth Proportional to 105,752.38, 145,938.50 and 58,006.12

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Solution

The fourth proportional to 105,752.38, 145,938.50 and 58,006.12 is: 80,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,752.38 : 145,938.50 = 58,006.12 : x
  2. Step 2: Convert to fraction form
    105,752.38/145,938.50 = 58,006.12/x
  3. Step 3: Cross multiply
    105,752.38x = 145,938.50 × 58,006.12
  4. Step 4: Simplify right side
    105,752.38x = 8,465,326,143.62
  5. Step 5: Solve for x
    x = 8,465,326,143.62/105,752.38
  6. Step 6: Final answer
    x = 80,048.56

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1.5x scale

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.