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Finding the Fourth Proportional to 103,661.90, 155,492.85 and 47,501.90

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Solution

The fourth proportional to 103,661.90, 155,492.85 and 47,501.90 is: 71,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,661.90 : 155,492.85 = 47,501.90 : x
  2. Step 2: Convert to fraction form
    103,661.90/155,492.85 = 47,501.90/x
  3. Step 3: Cross multiply
    103,661.90x = 155,492.85 × 47,501.90
  4. Step 4: Simplify right side
    103,661.90x = 7,386,205,811.42
  5. Step 5: Solve for x
    x = 7,386,205,811.42/103,661.90
  6. Step 6: Final answer
    x = 71,252.85

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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.