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Finding the Fourth Proportional to 75,878.79, 113,536.27 and 47,666.76

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Solution

The fourth proportional to 75,878.79, 113,536.27 and 47,666.76 is: 71,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.79 : 113,536.27 = 47,666.76 : x
  2. Step 2: Convert to fraction form
    75,878.79/113,536.27 = 47,666.76/x
  3. Step 3: Cross multiply
    75,878.79x = 113,536.27 × 47,666.76
  4. Step 4: Simplify right side
    75,878.79x = 5,411,906,133.39
  5. Step 5: Solve for x
    x = 5,411,906,133.39/75,878.79
  6. Step 6: Final answer
    x = 71,323.04

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1.5x scale

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.