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Finding the Fourth Proportional to 103,306.50, 154,985.76 and 29,434.50

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Solution

The fourth proportional to 103,306.50, 154,985.76 and 29,434.50 is: 44,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,306.50 : 154,985.76 = 29,434.50 : x
  2. Step 2: Convert to fraction form
    103,306.50/154,985.76 = 29,434.50/x
  3. Step 3: Cross multiply
    103,306.50x = 154,985.76 × 29,434.50
  4. Step 4: Simplify right side
    103,306.50x = 4,561,928,352.72
  5. Step 5: Solve for x
    x = 4,561,928,352.72/103,306.50
  6. Step 6: Final answer
    x = 44,159.16

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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.