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Finding the Fourth Proportional to 46,382.30, 69,569.76 and 13,101.02

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Solution

The fourth proportional to 46,382.30, 69,569.76 and 13,101.02 is: 19,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,382.30 : 69,569.76 = 13,101.02 : x
  2. Step 2: Convert to fraction form
    46,382.30/69,569.76 = 13,101.02/x
  3. Step 3: Cross multiply
    46,382.30x = 69,569.76 × 13,101.02
  4. Step 4: Simplify right side
    46,382.30x = 911,434,817.16
  5. Step 5: Solve for x
    x = 911,434,817.16/46,382.30
  6. Step 6: Final answer
    x = 19,650.49

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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.