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Finding the Fourth Proportional to 58,902.32, 81,254.22 and 35,012

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Solution

The fourth proportional to 58,902.32, 81,254.22 and 35,012 is: 48,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902.32 : 81,254.22 = 35,012 : x
  2. Step 2: Convert to fraction form
    58,902.32/81,254.22 = 35,012/x
  3. Step 3: Cross multiply
    58,902.32x = 81,254.22 × 35,012
  4. Step 4: Simplify right side
    58,902.32x = 2,844,872,750.64
  5. Step 5: Solve for x
    x = 2,844,872,750.64/58,902.32
  6. Step 6: Final answer
    x = 48,298.14

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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.