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Finding the Fourth Proportional to 105,320.98, 157,995.13 and 38,761.91

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Solution

The fourth proportional to 105,320.98, 157,995.13 and 38,761.91 is: 58,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,320.98 : 157,995.13 = 38,761.91 : x
  2. Step 2: Convert to fraction form
    105,320.98/157,995.13 = 38,761.91/x
  3. Step 3: Cross multiply
    105,320.98x = 157,995.13 × 38,761.91
  4. Step 4: Simplify right side
    105,320.98x = 6,124,193,009.50
  5. Step 5: Solve for x
    x = 6,124,193,009.50/105,320.98
  6. Step 6: Final answer
    x = 58,147.89

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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.