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Finding the Fourth Proportional to 75,878.92, 104,717.46 and 42,347.08

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Solution

The fourth proportional to 75,878.92, 104,717.46 and 42,347.08 is: 58,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.92 : 104,717.46 = 42,347.08 : x
  2. Step 2: Convert to fraction form
    75,878.92/104,717.46 = 42,347.08/x
  3. Step 3: Cross multiply
    75,878.92x = 104,717.46 × 42,347.08
  4. Step 4: Simplify right side
    75,878.92x = 4,434,478,656.02
  5. Step 5: Solve for x
    x = 4,434,478,656.02/75,878.92
  6. Step 6: Final answer
    x = 58,441.51

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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.