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Finding the Fourth Proportional to 78,576.60, 117,864.90 and 19,411.80

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Solution

The fourth proportional to 78,576.60, 117,864.90 and 19,411.80 is: 29,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.60 : 117,864.90 = 19,411.80 : x
  2. Step 2: Convert to fraction form
    78,576.60/117,864.90 = 19,411.80/x
  3. Step 3: Cross multiply
    78,576.60x = 117,864.90 × 19,411.80
  4. Step 4: Simplify right side
    78,576.60x = 2,287,969,865.82
  5. Step 5: Solve for x
    x = 2,287,969,865.82/78,576.60
  6. Step 6: Final answer
    x = 29,117.70

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1.5x scale

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.