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Finding the Fourth Proportional to 46,302.71, 69,458.71 and 12,569.29

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Solution

The fourth proportional to 46,302.71, 69,458.71 and 12,569.29 is: 18,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302.71 : 69,458.71 = 12,569.29 : x
  2. Step 2: Convert to fraction form
    46,302.71/69,458.71 = 12,569.29/x
  3. Step 3: Cross multiply
    46,302.71x = 69,458.71 × 12,569.29
  4. Step 4: Simplify right side
    46,302.71x = 873,046,463.95
  5. Step 5: Solve for x
    x = 873,046,463.95/46,302.71
  6. Step 6: Final answer
    x = 18,855.19

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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.