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Finding the Fourth Proportional to 52,005.20, 77,878.20 and 41,637.20

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Solution

The fourth proportional to 52,005.20, 77,878.20 and 41,637.20 is: 62,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.20 : 77,878.20 = 41,637.20 : x
  2. Step 2: Convert to fraction form
    52,005.20/77,878.20 = 41,637.20/x
  3. Step 3: Cross multiply
    52,005.20x = 77,878.20 × 41,637.20
  4. Step 4: Simplify right side
    52,005.20x = 3,242,630,189.04
  5. Step 5: Solve for x
    x = 3,242,630,189.04/52,005.20
  6. Step 6: Final answer
    x = 62,352.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.