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Finding the Fourth Proportional to 32,248, 48,376.14 and 11,471.68

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Solution

The fourth proportional to 32,248, 48,376.14 and 11,471.68 is: 17,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248 : 48,376.14 = 11,471.68 : x
  2. Step 2: Convert to fraction form
    32,248/48,376.14 = 11,471.68/x
  3. Step 3: Cross multiply
    32,248x = 48,376.14 × 11,471.68
  4. Step 4: Simplify right side
    32,248x = 554,955,597.72
  5. Step 5: Solve for x
    x = 554,955,597.72/32,248
  6. Step 6: Final answer
    x = 17,208.99

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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.