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Finding the Fourth Proportional to 77,848, 107,432.80 and 42,520

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Solution

The fourth proportional to 77,848, 107,432.80 and 42,520 is: 58,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,848 : 107,432.80 = 42,520 : x
  2. Step 2: Convert to fraction form
    77,848/107,432.80 = 42,520/x
  3. Step 3: Cross multiply
    77,848x = 107,432.80 × 42,520
  4. Step 4: Simplify right side
    77,848x = 4,568,042,656
  5. Step 5: Solve for x
    x = 4,568,042,656/77,848
  6. Step 6: Final answer
    x = 58,679.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.