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Finding the Fourth Proportional to 32,036.72, 48,062.10 and 9,851.72

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Solution

The fourth proportional to 32,036.72, 48,062.10 and 9,851.72 is: 14,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.72 : 48,062.10 = 9,851.72 : x
  2. Step 2: Convert to fraction form
    32,036.72/48,062.10 = 9,851.72/x
  3. Step 3: Cross multiply
    32,036.72x = 48,062.10 × 9,851.72
  4. Step 4: Simplify right side
    32,036.72x = 473,494,351.81
  5. Step 5: Solve for x
    x = 473,494,351.81/32,036.72
  6. Step 6: Final answer
    x = 14,779.74

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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.