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Finding the Fourth Proportional to 42,766.32, 64,133.08 and 14,681.14

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Solution

The fourth proportional to 42,766.32, 64,133.08 and 14,681.14 is: 22,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,766.32 : 64,133.08 = 14,681.14 : x
  2. Step 2: Convert to fraction form
    42,766.32/64,133.08 = 14,681.14/x
  3. Step 3: Cross multiply
    42,766.32x = 64,133.08 × 14,681.14
  4. Step 4: Simplify right side
    42,766.32x = 941,546,726.11
  5. Step 5: Solve for x
    x = 941,546,726.11/42,766.32
  6. Step 6: Final answer
    x = 22,016.08

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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.