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Finding the Fourth Proportional to 70,205.84, 96,884.10 and 38,374.74

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Solution

The fourth proportional to 70,205.84, 96,884.10 and 38,374.74 is: 52,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,205.84 : 96,884.10 = 38,374.74 : x
  2. Step 2: Convert to fraction form
    70,205.84/96,884.10 = 38,374.74/x
  3. Step 3: Cross multiply
    70,205.84x = 96,884.10 × 38,374.74
  4. Step 4: Simplify right side
    70,205.84x = 3,717,902,147.63
  5. Step 5: Solve for x
    x = 3,717,902,147.63/70,205.84
  6. Step 6: Final answer
    x = 52,957.17

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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.