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Finding the Fourth Proportional to 42,989.84, 64,476.12 and 13,402.88

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Solution

The fourth proportional to 42,989.84, 64,476.12 and 13,402.88 is: 20,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,989.84 : 64,476.12 = 13,402.88 : x
  2. Step 2: Convert to fraction form
    42,989.84/64,476.12 = 13,402.88/x
  3. Step 3: Cross multiply
    42,989.84x = 64,476.12 × 13,402.88
  4. Step 4: Simplify right side
    42,989.84x = 864,165,699.23
  5. Step 5: Solve for x
    x = 864,165,699.23/42,989.84
  6. Step 6: Final answer
    x = 20,101.63

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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.