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Finding the Fourth Proportional to 32,363.85, 48,557.47 and 11,307

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Solution

The fourth proportional to 32,363.85, 48,557.47 and 11,307 is: 16,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,363.85 : 48,557.47 = 11,307 : x
  2. Step 2: Convert to fraction form
    32,363.85/48,557.47 = 11,307/x
  3. Step 3: Cross multiply
    32,363.85x = 48,557.47 × 11,307
  4. Step 4: Simplify right side
    32,363.85x = 549,039,313.29
  5. Step 5: Solve for x
    x = 549,039,313.29/32,363.85
  6. Step 6: Final answer
    x = 16,964.59

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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.