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Finding the Fourth Proportional to 75,213.84, 103,842.28 and 48,402.93

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Solution

The fourth proportional to 75,213.84, 103,842.28 and 48,402.93 is: 66,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213.84 : 103,842.28 = 48,402.93 : x
  2. Step 2: Convert to fraction form
    75,213.84/103,842.28 = 48,402.93/x
  3. Step 3: Cross multiply
    75,213.84x = 103,842.28 × 48,402.93
  4. Step 4: Simplify right side
    75,213.84x = 5,026,270,609.88
  5. Step 5: Solve for x
    x = 5,026,270,609.88/75,213.84
  6. Step 6: Final answer
    x = 66,826.41

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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.