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Finding the Fourth Proportional to 30,256.60, 41,748 and 17,678.92

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Solution

The fourth proportional to 30,256.60, 41,748 and 17,678.92 is: 24,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.60 : 41,748 = 17,678.92 : x
  2. Step 2: Convert to fraction form
    30,256.60/41,748 = 17,678.92/x
  3. Step 3: Cross multiply
    30,256.60x = 41,748 × 17,678.92
  4. Step 4: Simplify right side
    30,256.60x = 738,059,552.16
  5. Step 5: Solve for x
    x = 738,059,552.16/30,256.60
  6. Step 6: Final answer
    x = 24,393.34

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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.