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Finding the Fourth Proportional to 102,392.82, 153,658.38 and 35,833.53

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Solution

The fourth proportional to 102,392.82, 153,658.38 and 35,833.53 is: 53,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.82 : 153,658.38 = 35,833.53 : x
  2. Step 2: Convert to fraction form
    102,392.82/153,658.38 = 35,833.53/x
  3. Step 3: Cross multiply
    102,392.82x = 153,658.38 × 35,833.53
  4. Step 4: Simplify right side
    102,392.82x = 5,506,121,401.19
  5. Step 5: Solve for x
    x = 5,506,121,401.19/102,392.82
  6. Step 6: Final answer
    x = 53,774.49

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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.