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Finding the Fourth Proportional to 70,587.96, 97,403.16 and 41,897.20

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Solution

The fourth proportional to 70,587.96, 97,403.16 and 41,897.20 is: 57,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,587.96 : 97,403.16 = 41,897.20 : x
  2. Step 2: Convert to fraction form
    70,587.96/97,403.16 = 41,897.20/x
  3. Step 3: Cross multiply
    70,587.96x = 97,403.16 × 41,897.20
  4. Step 4: Simplify right side
    70,587.96x = 4,080,919,675.15
  5. Step 5: Solve for x
    x = 4,080,919,675.15/70,587.96
  6. Step 6: Final answer
    x = 57,813.25

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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.