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Finding the Fourth Proportional to 70,207.42, 96,886.02 and 38,376.34

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Solution

The fourth proportional to 70,207.42, 96,886.02 and 38,376.34 is: 52,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,207.42 : 96,886.02 = 38,376.34 : x
  2. Step 2: Convert to fraction form
    70,207.42/96,886.02 = 38,376.34/x
  3. Step 3: Cross multiply
    70,207.42x = 96,886.02 × 38,376.34
  4. Step 4: Simplify right side
    70,207.42x = 3,718,130,844.77
  5. Step 5: Solve for x
    x = 3,718,130,844.77/70,207.42
  6. Step 6: Final answer
    x = 52,959.23

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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.