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Finding the Fourth Proportional to 32,851.78, 49,248.42 and 12,070.42

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Solution

The fourth proportional to 32,851.78, 49,248.42 and 12,070.42 is: 18,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.78 : 49,248.42 = 12,070.42 : x
  2. Step 2: Convert to fraction form
    32,851.78/49,248.42 = 12,070.42/x
  3. Step 3: Cross multiply
    32,851.78x = 49,248.42 × 12,070.42
  4. Step 4: Simplify right side
    32,851.78x = 594,449,113.74
  5. Step 5: Solve for x
    x = 594,449,113.74/32,851.78
  6. Step 6: Final answer
    x = 18,094.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.