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Finding the Fourth Proportional to 89,092.30, 122,947.40 and 48,807.50

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Solution

The fourth proportional to 89,092.30, 122,947.40 and 48,807.50 is: 67,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,092.30 : 122,947.40 = 48,807.50 : x
  2. Step 2: Convert to fraction form
    89,092.30/122,947.40 = 48,807.50/x
  3. Step 3: Cross multiply
    89,092.30x = 122,947.40 × 48,807.50
  4. Step 4: Simplify right side
    89,092.30x = 6,000,755,225.50
  5. Step 5: Solve for x
    x = 6,000,755,225.50/89,092.30
  6. Step 6: Final answer
    x = 67,354.36

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1.5x scale

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.