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Finding the Fourth Proportional to 42,848, 59,127 and 23,727.68

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Solution

The fourth proportional to 42,848, 59,127 and 23,727.68 is: 32,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,848 : 59,127 = 23,727.68 : x
  2. Step 2: Convert to fraction form
    42,848/59,127 = 23,727.68/x
  3. Step 3: Cross multiply
    42,848x = 59,127 × 23,727.68
  4. Step 4: Simplify right side
    42,848x = 1,402,946,535.36
  5. Step 5: Solve for x
    x = 1,402,946,535.36/42,848
  6. Step 6: Final answer
    x = 32,742.40

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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.