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Finding the Fourth Proportional to 46,641.60, 69,965.10 and 13,364.10

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Solution

The fourth proportional to 46,641.60, 69,965.10 and 13,364.10 is: 20,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,641.60 : 69,965.10 = 13,364.10 : x
  2. Step 2: Convert to fraction form
    46,641.60/69,965.10 = 13,364.10/x
  3. Step 3: Cross multiply
    46,641.60x = 69,965.10 × 13,364.10
  4. Step 4: Simplify right side
    46,641.60x = 935,020,592.91
  5. Step 5: Solve for x
    x = 935,020,592.91/46,641.60
  6. Step 6: Final answer
    x = 20,046.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.