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Finding the Fourth Proportional to 42,480, 63,727.29 and 12,900.83

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Solution

The fourth proportional to 42,480, 63,727.29 and 12,900.83 is: 19,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,480 : 63,727.29 = 12,900.83 : x
  2. Step 2: Convert to fraction form
    42,480/63,727.29 = 12,900.83/x
  3. Step 3: Cross multiply
    42,480x = 63,727.29 × 12,900.83
  4. Step 4: Simplify right side
    42,480x = 822,134,616.01
  5. Step 5: Solve for x
    x = 822,134,616.01/42,480
  6. Step 6: Final answer
    x = 19,353.45

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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.