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Finding the Fourth Proportional to 52,879.96, 72,962.94 and 30,511

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Solution

The fourth proportional to 52,879.96, 72,962.94 and 30,511 is: 42,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,879.96 : 72,962.94 = 30,511 : x
  2. Step 2: Convert to fraction form
    52,879.96/72,962.94 = 30,511/x
  3. Step 3: Cross multiply
    52,879.96x = 72,962.94 × 30,511
  4. Step 4: Simplify right side
    52,879.96x = 2,226,172,262.34
  5. Step 5: Solve for x
    x = 2,226,172,262.34/52,879.96
  6. Step 6: Final answer
    x = 42,098.60

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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.