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Finding the Fourth Proportional to 52,108.78, 78,166.80 and 20,944

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Solution

The fourth proportional to 52,108.78, 78,166.80 and 20,944 is: 31,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.78 : 78,166.80 = 20,944 : x
  2. Step 2: Convert to fraction form
    52,108.78/78,166.80 = 20,944/x
  3. Step 3: Cross multiply
    52,108.78x = 78,166.80 × 20,944
  4. Step 4: Simplify right side
    52,108.78x = 1,637,125,459.20
  5. Step 5: Solve for x
    x = 1,637,125,459.20/52,108.78
  6. Step 6: Final answer
    x = 31,417.46

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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.