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Finding the Fourth Proportional to 85,701.84, 118,269 and 47,462.64

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Solution

The fourth proportional to 85,701.84, 118,269 and 47,462.64 is: 65,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,701.84 : 118,269 = 47,462.64 : x
  2. Step 2: Convert to fraction form
    85,701.84/118,269 = 47,462.64/x
  3. Step 3: Cross multiply
    85,701.84x = 118,269 × 47,462.64
  4. Step 4: Simplify right side
    85,701.84x = 5,613,358,970.16
  5. Step 5: Solve for x
    x = 5,613,358,970.16/85,701.84
  6. Step 6: Final answer
    x = 65,498.70

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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.