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Finding the Fourth Proportional to 60,005.12, 82,812.12 and 34,853

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Solution

The fourth proportional to 60,005.12, 82,812.12 and 34,853 is: 48,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,005.12 : 82,812.12 = 34,853 : x
  2. Step 2: Convert to fraction form
    60,005.12/82,812.12 = 34,853/x
  3. Step 3: Cross multiply
    60,005.12x = 82,812.12 × 34,853
  4. Step 4: Simplify right side
    60,005.12x = 2,886,250,818.36
  5. Step 5: Solve for x
    x = 2,886,250,818.36/60,005.12
  6. Step 6: Final answer
    x = 48,100.08

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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.