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Finding the Fourth Proportional to 129,053, 193,586.80 and 45,947

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Solution

The fourth proportional to 129,053, 193,586.80 and 45,947 is: 68,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,053 : 193,586.80 = 45,947 : x
  2. Step 2: Convert to fraction form
    129,053/193,586.80 = 45,947/x
  3. Step 3: Cross multiply
    129,053x = 193,586.80 × 45,947
  4. Step 4: Simplify right side
    129,053x = 8,894,732,699.60
  5. Step 5: Solve for x
    x = 8,894,732,699.60/129,053
  6. Step 6: Final answer
    x = 68,923.10

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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.