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Finding the Fourth Proportional to 42,215.32, 58,255.38 and 23,095

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Solution

The fourth proportional to 42,215.32, 58,255.38 and 23,095 is: 31,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,215.32 : 58,255.38 = 23,095 : x
  2. Step 2: Convert to fraction form
    42,215.32/58,255.38 = 23,095/x
  3. Step 3: Cross multiply
    42,215.32x = 58,255.38 × 23,095
  4. Step 4: Simplify right side
    42,215.32x = 1,345,408,001.10
  5. Step 5: Solve for x
    x = 1,345,408,001.10/42,215.32
  6. Step 6: Final answer
    x = 31,870.14

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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.