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Finding the Fourth Proportional to 70,728.38, 97,602.93 and 38,897.18

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Solution

The fourth proportional to 70,728.38, 97,602.93 and 38,897.18 is: 53,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,728.38 : 97,602.93 = 38,897.18 : x
  2. Step 2: Convert to fraction form
    70,728.38/97,602.93 = 38,897.18/x
  3. Step 3: Cross multiply
    70,728.38x = 97,602.93 × 38,897.18
  4. Step 4: Simplify right side
    70,728.38x = 3,796,478,736.74
  5. Step 5: Solve for x
    x = 3,796,478,736.74/70,728.38
  6. Step 6: Final answer
    x = 53,676.88

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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.