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Finding the Fourth Proportional to 46,809.96, 70,214.76 and 15,246.24

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Solution

The fourth proportional to 46,809.96, 70,214.76 and 15,246.24 is: 22,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809.96 : 70,214.76 = 15,246.24 : x
  2. Step 2: Convert to fraction form
    46,809.96/70,214.76 = 15,246.24/x
  3. Step 3: Cross multiply
    46,809.96x = 70,214.76 × 15,246.24
  4. Step 4: Simplify right side
    46,809.96x = 1,070,511,082.50
  5. Step 5: Solve for x
    x = 1,070,511,082.50/46,809.96
  6. Step 6: Final answer
    x = 22,869.30

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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.