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Finding the Fourth Proportional to 47,341.98, 70,959.01 and 29,580.84

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Solution

The fourth proportional to 47,341.98, 70,959.01 and 29,580.84 is: 44,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,341.98 : 70,959.01 = 29,580.84 : x
  2. Step 2: Convert to fraction form
    47,341.98/70,959.01 = 29,580.84/x
  3. Step 3: Cross multiply
    47,341.98x = 70,959.01 × 29,580.84
  4. Step 4: Simplify right side
    47,341.98x = 2,099,026,618.67
  5. Step 5: Solve for x
    x = 2,099,026,618.67/47,341.98
  6. Step 6: Final answer
    x = 44,337.54

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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.