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Finding the Fourth Proportional to 32,488.16, 48,712.44 and 12,776

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Solution

The fourth proportional to 32,488.16, 48,712.44 and 12,776 is: 19,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.16 : 48,712.44 = 12,776 : x
  2. Step 2: Convert to fraction form
    32,488.16/48,712.44 = 12,776/x
  3. Step 3: Cross multiply
    32,488.16x = 48,712.44 × 12,776
  4. Step 4: Simplify right side
    32,488.16x = 622,350,133.44
  5. Step 5: Solve for x
    x = 622,350,133.44/32,488.16
  6. Step 6: Final answer
    x = 19,156.21

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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.