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Finding the Fourth Proportional to 32,064.06, 48,113.28 and 13,357.02

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Solution

The fourth proportional to 32,064.06, 48,113.28 and 13,357.02 is: 20,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.06 : 48,113.28 = 13,357.02 : x
  2. Step 2: Convert to fraction form
    32,064.06/48,113.28 = 13,357.02/x
  3. Step 3: Cross multiply
    32,064.06x = 48,113.28 × 13,357.02
  4. Step 4: Simplify right side
    32,064.06x = 642,650,043.23
  5. Step 5: Solve for x
    x = 642,650,043.23/32,064.06
  6. Step 6: Final answer
    x = 20,042.69

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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.