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Finding the Fourth Proportional to 32,503.82, 48,757.54 and 10,319

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Solution

The fourth proportional to 32,503.82, 48,757.54 and 10,319 is: 15,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.82 : 48,757.54 = 10,319 : x
  2. Step 2: Convert to fraction form
    32,503.82/48,757.54 = 10,319/x
  3. Step 3: Cross multiply
    32,503.82x = 48,757.54 × 10,319
  4. Step 4: Simplify right side
    32,503.82x = 503,129,055.26
  5. Step 5: Solve for x
    x = 503,129,055.26/32,503.82
  6. Step 6: Final answer
    x = 15,479.07

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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.