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Finding the Fourth Proportional to 55,935, 83,875.14 and 26,327.88

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Solution

The fourth proportional to 55,935, 83,875.14 and 26,327.88 is: 39,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,935 : 83,875.14 = 26,327.88 : x
  2. Step 2: Convert to fraction form
    55,935/83,875.14 = 26,327.88/x
  3. Step 3: Cross multiply
    55,935x = 83,875.14 × 26,327.88
  4. Step 4: Simplify right side
    55,935x = 2,208,254,620.90
  5. Step 5: Solve for x
    x = 2,208,254,620.90/55,935
  6. Step 6: Final answer
    x = 39,478.94

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Why These Related Problems?

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