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Finding the Fourth Proportional to 32,438, 48,594.06 and 21,310.92

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Solution

The fourth proportional to 32,438, 48,594.06 and 21,310.92 is: 31,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438 : 48,594.06 = 21,310.92 : x
  2. Step 2: Convert to fraction form
    32,438/48,594.06 = 21,310.92/x
  3. Step 3: Cross multiply
    32,438x = 48,594.06 × 21,310.92
  4. Step 4: Simplify right side
    32,438x = 1,035,584,125.14
  5. Step 5: Solve for x
    x = 1,035,584,125.14/32,438
  6. Step 6: Final answer
    x = 31,925.03

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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.