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Finding the Fourth Proportional to 105,490.55, 158,218.76 and 38,962.01

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Solution

The fourth proportional to 105,490.55, 158,218.76 and 38,962.01 is: 58,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,490.55 : 158,218.76 = 38,962.01 : x
  2. Step 2: Convert to fraction form
    105,490.55/158,218.76 = 38,962.01/x
  3. Step 3: Cross multiply
    105,490.55x = 158,218.76 × 38,962.01
  4. Step 4: Simplify right side
    105,490.55x = 6,164,519,923.40
  5. Step 5: Solve for x
    x = 6,164,519,923.40/105,490.55
  6. Step 6: Final answer
    x = 58,436.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.