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Finding the Fourth Proportional to 96,276.72, 144,401.72 and 29,719.04

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Solution

The fourth proportional to 96,276.72, 144,401.72 and 29,719.04 is: 44,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,276.72 : 144,401.72 = 29,719.04 : x
  2. Step 2: Convert to fraction form
    96,276.72/144,401.72 = 29,719.04/x
  3. Step 3: Cross multiply
    96,276.72x = 144,401.72 × 29,719.04
  4. Step 4: Simplify right side
    96,276.72x = 4,291,480,492.75
  5. Step 5: Solve for x
    x = 4,291,480,492.75/96,276.72
  6. Step 6: Final answer
    x = 44,574.44

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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.