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Finding the Fourth Proportional to 96,609.30, 144,985.95 and 49,838.10

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Solution

The fourth proportional to 96,609.30, 144,985.95 and 49,838.10 is: 74,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,609.30 : 144,985.95 = 49,838.10 : x
  2. Step 2: Convert to fraction form
    96,609.30/144,985.95 = 49,838.10/x
  3. Step 3: Cross multiply
    96,609.30x = 144,985.95 × 49,838.10
  4. Step 4: Simplify right side
    96,609.30x = 7,225,824,274.70
  5. Step 5: Solve for x
    x = 7,225,824,274.70/96,609.30
  6. Step 6: Final answer
    x = 74,794.29

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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.