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Finding the Fourth Proportional to 46,578, 69,869.46 and 13,295.48

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Solution

The fourth proportional to 46,578, 69,869.46 and 13,295.48 is: 19,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,578 : 69,869.46 = 13,295.48 : x
  2. Step 2: Convert to fraction form
    46,578/69,869.46 = 13,295.48/x
  3. Step 3: Cross multiply
    46,578x = 69,869.46 × 13,295.48
  4. Step 4: Simplify right side
    46,578x = 928,948,008.04
  5. Step 5: Solve for x
    x = 928,948,008.04/46,578
  6. Step 6: Final answer
    x = 19,943.92

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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.