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Finding the Fourth Proportional to 47,114.63, 70,684.70 and 15,949.88

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Solution

The fourth proportional to 47,114.63, 70,684.70 and 15,949.88 is: 23,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114.63 : 70,684.70 = 15,949.88 : x
  2. Step 2: Convert to fraction form
    47,114.63/70,684.70 = 15,949.88/x
  3. Step 3: Cross multiply
    47,114.63x = 70,684.70 × 15,949.88
  4. Step 4: Simplify right side
    47,114.63x = 1,127,412,482.84
  5. Step 5: Solve for x
    x = 1,127,412,482.84/47,114.63
  6. Step 6: Final answer
    x = 23,929.14

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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.