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Finding the Fourth Proportional to 30,714.42, 42,385.50 and 17,285.70

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Solution

The fourth proportional to 30,714.42, 42,385.50 and 17,285.70 is: 23,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.42 : 42,385.50 = 17,285.70 : x
  2. Step 2: Convert to fraction form
    30,714.42/42,385.50 = 17,285.70/x
  3. Step 3: Cross multiply
    30,714.42x = 42,385.50 × 17,285.70
  4. Step 4: Simplify right side
    30,714.42x = 732,663,037.35
  5. Step 5: Solve for x
    x = 732,663,037.35/30,714.42
  6. Step 6: Final answer
    x = 23,854.04

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