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Finding the Fourth Proportional to 30,061.86, 45,098.46 and 9,280.50

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Solution

The fourth proportional to 30,061.86, 45,098.46 and 9,280.50 is: 13,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,061.86 : 45,098.46 = 9,280.50 : x
  2. Step 2: Convert to fraction form
    30,061.86/45,098.46 = 9,280.50/x
  3. Step 3: Cross multiply
    30,061.86x = 45,098.46 × 9,280.50
  4. Step 4: Simplify right side
    30,061.86x = 418,536,258.03
  5. Step 5: Solve for x
    x = 418,536,258.03/30,061.86
  6. Step 6: Final answer
    x = 13,922.50

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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.