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Finding the Fourth Proportional to 70,160, 96,827.46 and 38,333.69

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Solution

The fourth proportional to 70,160, 96,827.46 and 38,333.69 is: 52,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160 : 96,827.46 = 38,333.69 : x
  2. Step 2: Convert to fraction form
    70,160/96,827.46 = 38,333.69/x
  3. Step 3: Cross multiply
    70,160x = 96,827.46 × 38,333.69
  4. Step 4: Simplify right side
    70,160x = 3,711,753,835.13
  5. Step 5: Solve for x
    x = 3,711,753,835.13/70,160
  6. Step 6: Final answer
    x = 52,904.13

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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.