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Finding the Fourth Proportional to 105,423.74, 145,482.27 and 57,677.48

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Solution

The fourth proportional to 105,423.74, 145,482.27 and 57,677.48 is: 79,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,423.74 : 145,482.27 = 57,677.48 : x
  2. Step 2: Convert to fraction form
    105,423.74/145,482.27 = 57,677.48/x
  3. Step 3: Cross multiply
    105,423.74x = 145,482.27 × 57,677.48
  4. Step 4: Simplify right side
    105,423.74x = 8,391,050,718.28
  5. Step 5: Solve for x
    x = 8,391,050,718.28/105,423.74
  6. Step 6: Final answer
    x = 79,593.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.