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Finding the Fourth Proportional to 42,677.66, 64,014.08 and 13,095.42

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Solution

The fourth proportional to 42,677.66, 64,014.08 and 13,095.42 is: 19,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,677.66 : 64,014.08 = 13,095.42 : x
  2. Step 2: Convert to fraction form
    42,677.66/64,014.08 = 13,095.42/x
  3. Step 3: Cross multiply
    42,677.66x = 64,014.08 × 13,095.42
  4. Step 4: Simplify right side
    42,677.66x = 838,291,198.04
  5. Step 5: Solve for x
    x = 838,291,198.04/42,677.66
  6. Step 6: Final answer
    x = 19,642.39

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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.