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Finding the Fourth Proportional to 92,363.16, 138,294.49 and 47,896.67

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Solution

The fourth proportional to 92,363.16, 138,294.49 and 47,896.67 is: 71,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,363.16 : 138,294.49 = 47,896.67 : x
  2. Step 2: Convert to fraction form
    92,363.16/138,294.49 = 47,896.67/x
  3. Step 3: Cross multiply
    92,363.16x = 138,294.49 × 47,896.67
  4. Step 4: Simplify right side
    92,363.16x = 6,623,845,088.24
  5. Step 5: Solve for x
    x = 6,623,845,088.24/92,363.16
  6. Step 6: Final answer
    x = 71,715.23

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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.