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Finding the Fourth Proportional to 30,657.48, 42,307.28 and 17,919.42

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Solution

The fourth proportional to 30,657.48, 42,307.28 and 17,919.42 is: 24,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.48 : 42,307.28 = 17,919.42 : x
  2. Step 2: Convert to fraction form
    30,657.48/42,307.28 = 17,919.42/x
  3. Step 3: Cross multiply
    30,657.48x = 42,307.28 × 17,919.42
  4. Step 4: Simplify right side
    30,657.48x = 758,121,919.38
  5. Step 5: Solve for x
    x = 758,121,919.38/30,657.48
  6. Step 6: Final answer
    x = 24,728.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.