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Finding the Fourth Proportional to 46,132.47, 69,197.49 and 12,854.84

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Solution

The fourth proportional to 46,132.47, 69,197.49 and 12,854.84 is: 19,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,132.47 : 69,197.49 = 12,854.84 : x
  2. Step 2: Convert to fraction form
    46,132.47/69,197.49 = 12,854.84/x
  3. Step 3: Cross multiply
    46,132.47x = 69,197.49 × 12,854.84
  4. Step 4: Simplify right side
    46,132.47x = 889,522,316.36
  5. Step 5: Solve for x
    x = 889,522,316.36/46,132.47
  6. Step 6: Final answer
    x = 19,281.91

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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.