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Finding the Fourth Proportional to 70,909.38, 97,817.42 and 42,208.64

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Solution

The fourth proportional to 70,909.38, 97,817.42 and 42,208.64 is: 58,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.38 : 97,817.42 = 42,208.64 : x
  2. Step 2: Convert to fraction form
    70,909.38/97,817.42 = 42,208.64/x
  3. Step 3: Cross multiply
    70,909.38x = 97,817.42 × 42,208.64
  4. Step 4: Simplify right side
    70,909.38x = 4,128,740,266.51
  5. Step 5: Solve for x
    x = 4,128,740,266.51/70,909.38
  6. Step 6: Final answer
    x = 58,225.59

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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.