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Finding the Fourth Proportional to 58,142.34, 87,222.34 and 24,862.50

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Solution

The fourth proportional to 58,142.34, 87,222.34 and 24,862.50 is: 37,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142.34 : 87,222.34 = 24,862.50 : x
  2. Step 2: Convert to fraction form
    58,142.34/87,222.34 = 24,862.50/x
  3. Step 3: Cross multiply
    58,142.34x = 87,222.34 × 24,862.50
  4. Step 4: Simplify right side
    58,142.34x = 2,168,565,428.25
  5. Step 5: Solve for x
    x = 2,168,565,428.25/58,142.34
  6. Step 6: Final answer
    x = 37,297.53

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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.