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Finding the Fourth Proportional to 103,225.50, 154,864.26 and 29,353.50

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Solution

The fourth proportional to 103,225.50, 154,864.26 and 29,353.50 is: 44,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,225.50 : 154,864.26 = 29,353.50 : x
  2. Step 2: Convert to fraction form
    103,225.50/154,864.26 = 29,353.50/x
  3. Step 3: Cross multiply
    103,225.50x = 154,864.26 × 29,353.50
  4. Step 4: Simplify right side
    103,225.50x = 4,545,808,055.91
  5. Step 5: Solve for x
    x = 4,545,808,055.91/103,225.50
  6. Step 6: Final answer
    x = 44,037.65

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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.