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Finding the Fourth Proportional to 83,066.79, 114,628.19 and 47,253.45

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Solution

The fourth proportional to 83,066.79, 114,628.19 and 47,253.45 is: 65,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,066.79 : 114,628.19 = 47,253.45 : x
  2. Step 2: Convert to fraction form
    83,066.79/114,628.19 = 47,253.45/x
  3. Step 3: Cross multiply
    83,066.79x = 114,628.19 × 47,253.45
  4. Step 4: Simplify right side
    83,066.79x = 5,416,577,208.49
  5. Step 5: Solve for x
    x = 5,416,577,208.49/83,066.79
  6. Step 6: Final answer
    x = 65,207.49

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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.