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Finding the Fourth Proportional to 46,806.47, 70,209.70 and 15,641.72

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Solution

The fourth proportional to 46,806.47, 70,209.70 and 15,641.72 is: 23,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.47 : 70,209.70 = 15,641.72 : x
  2. Step 2: Convert to fraction form
    46,806.47/70,209.70 = 15,641.72/x
  3. Step 3: Cross multiply
    46,806.47x = 70,209.70 × 15,641.72
  4. Step 4: Simplify right side
    46,806.47x = 1,098,200,429.80
  5. Step 5: Solve for x
    x = 1,098,200,429.80/46,806.47
  6. Step 6: Final answer
    x = 23,462.58

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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.