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Finding the Fourth Proportional to 58,405.78, 87,642.42 and 24,669.28

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Solution

The fourth proportional to 58,405.78, 87,642.42 and 24,669.28 is: 37,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,405.78 : 87,642.42 = 24,669.28 : x
  2. Step 2: Convert to fraction form
    58,405.78/87,642.42 = 24,669.28/x
  3. Step 3: Cross multiply
    58,405.78x = 87,642.42 × 24,669.28
  4. Step 4: Simplify right side
    58,405.78x = 2,162,075,398.86
  5. Step 5: Solve for x
    x = 2,162,075,398.86/58,405.78
  6. Step 6: Final answer
    x = 37,018.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.