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Finding the Fourth Proportional to 32,042.78, 48,068.74 and 9,858.02

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Solution

The fourth proportional to 32,042.78, 48,068.74 and 9,858.02 is: 14,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.78 : 48,068.74 = 9,858.02 : x
  2. Step 2: Convert to fraction form
    32,042.78/48,068.74 = 9,858.02/x
  3. Step 3: Cross multiply
    32,042.78x = 48,068.74 × 9,858.02
  4. Step 4: Simplify right side
    32,042.78x = 473,862,600.29
  5. Step 5: Solve for x
    x = 473,862,600.29/32,042.78
  6. Step 6: Final answer
    x = 14,788.44

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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.