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Finding the Fourth Proportional to 75,314, 112,988.36 and 26,066

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Solution

The fourth proportional to 75,314, 112,988.36 and 26,066 is: 39,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314 : 112,988.36 = 26,066 : x
  2. Step 2: Convert to fraction form
    75,314/112,988.36 = 26,066/x
  3. Step 3: Cross multiply
    75,314x = 112,988.36 × 26,066
  4. Step 4: Simplify right side
    75,314x = 2,945,154,591.76
  5. Step 5: Solve for x
    x = 2,945,154,591.76/75,314
  6. Step 6: Final answer
    x = 39,105.01

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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.