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Finding the Fourth Proportional to 96,596.80, 144,916.80 and 37,427.20

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Solution

The fourth proportional to 96,596.80, 144,916.80 and 37,427.20 is: 56,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,596.80 : 144,916.80 = 37,427.20 : x
  2. Step 2: Convert to fraction form
    96,596.80/144,916.80 = 37,427.20/x
  3. Step 3: Cross multiply
    96,596.80x = 144,916.80 × 37,427.20
  4. Step 4: Simplify right side
    96,596.80x = 5,423,830,056.96
  5. Step 5: Solve for x
    x = 5,423,830,056.96/96,596.80
  6. Step 6: Final answer
    x = 56,149.17

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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.