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Finding the Fourth Proportional to 31,124.66, 46,643.18 and 13,557.65

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Solution

The fourth proportional to 31,124.66, 46,643.18 and 13,557.65 is: 20,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.66 : 46,643.18 = 13,557.65 : x
  2. Step 2: Convert to fraction form
    31,124.66/46,643.18 = 13,557.65/x
  3. Step 3: Cross multiply
    31,124.66x = 46,643.18 × 13,557.65
  4. Step 4: Simplify right side
    31,124.66x = 632,371,608.32
  5. Step 5: Solve for x
    x = 632,371,608.32/31,124.66
  6. Step 6: Final answer
    x = 20,317.39

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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.