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Finding the Fourth Proportional to 42,681.71, 64,020.14 and 13,099.50

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Solution

The fourth proportional to 42,681.71, 64,020.14 and 13,099.50 is: 19,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,681.71 : 64,020.14 = 13,099.50 : x
  2. Step 2: Convert to fraction form
    42,681.71/64,020.14 = 13,099.50/x
  3. Step 3: Cross multiply
    42,681.71x = 64,020.14 × 13,099.50
  4. Step 4: Simplify right side
    42,681.71x = 838,631,758.43
  5. Step 5: Solve for x
    x = 838,631,758.43/42,681.71
  6. Step 6: Final answer
    x = 19,648.51

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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.