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Finding the Fourth Proportional to 32,549.70, 48,822.48 and 10,378.98

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Solution

The fourth proportional to 32,549.70, 48,822.48 and 10,378.98 is: 15,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.70 : 48,822.48 = 10,378.98 : x
  2. Step 2: Convert to fraction form
    32,549.70/48,822.48 = 10,378.98/x
  3. Step 3: Cross multiply
    32,549.70x = 48,822.48 × 10,378.98
  4. Step 4: Simplify right side
    32,549.70x = 506,727,543.47
  5. Step 5: Solve for x
    x = 506,727,543.47/32,549.70
  6. Step 6: Final answer
    x = 15,567.81

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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.