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Finding the Fourth Proportional to 46,769.62, 70,154.52 and 15,604.96

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Solution

The fourth proportional to 46,769.62, 70,154.52 and 15,604.96 is: 23,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769.62 : 70,154.52 = 15,604.96 : x
  2. Step 2: Convert to fraction form
    46,769.62/70,154.52 = 15,604.96/x
  3. Step 3: Cross multiply
    46,769.62x = 70,154.52 × 15,604.96
  4. Step 4: Simplify right side
    46,769.62x = 1,094,758,478.42
  5. Step 5: Solve for x
    x = 1,094,758,478.42/46,769.62
  6. Step 6: Final answer
    x = 23,407.47

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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.