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Finding the Fourth Proportional to 98,742.24, 148,068 and 36,369

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Solution

The fourth proportional to 98,742.24, 148,068 and 36,369 is: 54,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742.24 : 148,068 = 36,369 : x
  2. Step 2: Convert to fraction form
    98,742.24/148,068 = 36,369/x
  3. Step 3: Cross multiply
    98,742.24x = 148,068 × 36,369
  4. Step 4: Simplify right side
    98,742.24x = 5,385,085,092
  5. Step 5: Solve for x
    x = 5,385,085,092/98,742.24
  6. Step 6: Final answer
    x = 54,536.79

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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.