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Finding the Fourth Proportional to 30,363.50, 45,545.25 and 9,587

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Solution

The fourth proportional to 30,363.50, 45,545.25 and 9,587 is: 14,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,363.50 : 45,545.25 = 9,587 : x
  2. Step 2: Convert to fraction form
    30,363.50/45,545.25 = 9,587/x
  3. Step 3: Cross multiply
    30,363.50x = 45,545.25 × 9,587
  4. Step 4: Simplify right side
    30,363.50x = 436,642,311.75
  5. Step 5: Solve for x
    x = 436,642,311.75/30,363.50
  6. Step 6: Final answer
    x = 14,380.50

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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.