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Finding the Fourth Proportional to 30,678.24, 42,335.76 and 17,430.24

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Solution

The fourth proportional to 30,678.24, 42,335.76 and 17,430.24 is: 24,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.24 : 42,335.76 = 17,430.24 : x
  2. Step 2: Convert to fraction form
    30,678.24/42,335.76 = 17,430.24/x
  3. Step 3: Cross multiply
    30,678.24x = 42,335.76 × 17,430.24
  4. Step 4: Simplify right side
    30,678.24x = 737,922,457.38
  5. Step 5: Solve for x
    x = 737,922,457.38/30,678.24
  6. Step 6: Final answer
    x = 24,053.61

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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.