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Finding the Fourth Proportional to 70,403.64, 97,157.01 and 42,116.01

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Solution

The fourth proportional to 70,403.64, 97,157.01 and 42,116.01 is: 58,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,403.64 : 97,157.01 = 42,116.01 : x
  2. Step 2: Convert to fraction form
    70,403.64/97,157.01 = 42,116.01/x
  3. Step 3: Cross multiply
    70,403.64x = 97,157.01 × 42,116.01
  4. Step 4: Simplify right side
    70,403.64x = 4,091,865,604.73
  5. Step 5: Solve for x
    x = 4,091,865,604.73/70,403.64
  6. Step 6: Final answer
    x = 58,120.09

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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.