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Finding the Fourth Proportional to 42,681.84, 64,017.14 and 13,097.19

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Solution

The fourth proportional to 42,681.84, 64,017.14 and 13,097.19 is: 19,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,681.84 : 64,017.14 = 13,097.19 : x
  2. Step 2: Convert to fraction form
    42,681.84/64,017.14 = 13,097.19/x
  3. Step 3: Cross multiply
    42,681.84x = 64,017.14 × 13,097.19
  4. Step 4: Simplify right side
    42,681.84x = 838,444,820.41
  5. Step 5: Solve for x
    x = 838,444,820.41/42,681.84
  6. Step 6: Final answer
    x = 19,644.07

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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.