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Finding the Fourth Proportional to 34,892.48, 48,127.20 and 22,952

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Solution

The fourth proportional to 34,892.48, 48,127.20 and 22,952 is: 31,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,892.48 : 48,127.20 = 22,952 : x
  2. Step 2: Convert to fraction form
    34,892.48/48,127.20 = 22,952/x
  3. Step 3: Cross multiply
    34,892.48x = 48,127.20 × 22,952
  4. Step 4: Simplify right side
    34,892.48x = 1,104,615,494.40
  5. Step 5: Solve for x
    x = 1,104,615,494.40/34,892.48
  6. Step 6: Final answer
    x = 31,657.70

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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.