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Finding the Fourth Proportional to 83,283.34, 114,928.10 and 47,484.88

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Solution

The fourth proportional to 83,283.34, 114,928.10 and 47,484.88 is: 65,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.34 : 114,928.10 = 47,484.88 : x
  2. Step 2: Convert to fraction form
    83,283.34/114,928.10 = 47,484.88/x
  3. Step 3: Cross multiply
    83,283.34x = 114,928.10 × 47,484.88
  4. Step 4: Simplify right side
    83,283.34x = 5,457,347,037.13
  5. Step 5: Solve for x
    x = 5,457,347,037.13/83,283.34
  6. Step 6: Final answer
    x = 65,527.48

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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.