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Finding the Fourth Proportional to 67,301, 92,875.38 and 39,023.09

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Solution

The fourth proportional to 67,301, 92,875.38 and 39,023.09 is: 53,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,301 : 92,875.38 = 39,023.09 : x
  2. Step 2: Convert to fraction form
    67,301/92,875.38 = 39,023.09/x
  3. Step 3: Cross multiply
    67,301x = 92,875.38 × 39,023.09
  4. Step 4: Simplify right side
    67,301x = 3,624,284,312.52
  5. Step 5: Solve for x
    x = 3,624,284,312.52/67,301
  6. Step 6: Final answer
    x = 53,851.86

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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.