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Finding the Fourth Proportional to 42,876.84, 64,330.38 and 13,302.12

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Solution

The fourth proportional to 42,876.84, 64,330.38 and 13,302.12 is: 19,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876.84 : 64,330.38 = 13,302.12 : x
  2. Step 2: Convert to fraction form
    42,876.84/64,330.38 = 13,302.12/x
  3. Step 3: Cross multiply
    42,876.84x = 64,330.38 × 13,302.12
  4. Step 4: Simplify right side
    42,876.84x = 855,730,434.41
  5. Step 5: Solve for x
    x = 855,730,434.41/42,876.84
  6. Step 6: Final answer
    x = 19,957.87

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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.