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Finding the Fourth Proportional to 42,854.66, 64,170.21 and 34,488.98

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Solution

The fourth proportional to 42,854.66, 64,170.21 and 34,488.98 is: 51,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854.66 : 64,170.21 = 34,488.98 : x
  2. Step 2: Convert to fraction form
    42,854.66/64,170.21 = 34,488.98/x
  3. Step 3: Cross multiply
    42,854.66x = 64,170.21 × 34,488.98
  4. Step 4: Simplify right side
    42,854.66x = 2,213,165,089.29
  5. Step 5: Solve for x
    x = 2,213,165,089.29/42,854.66
  6. Step 6: Final answer
    x = 51,643.51

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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.