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Finding the Fourth Proportional to 65,070.40, 97,540.80 and 29,948.80

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Solution

The fourth proportional to 65,070.40, 97,540.80 and 29,948.80 is: 44,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070.40 : 97,540.80 = 29,948.80 : x
  2. Step 2: Convert to fraction form
    65,070.40/97,540.80 = 29,948.80/x
  3. Step 3: Cross multiply
    65,070.40x = 97,540.80 × 29,948.80
  4. Step 4: Simplify right side
    65,070.40x = 2,921,229,911.04
  5. Step 5: Solve for x
    x = 2,921,229,911.04/65,070.40
  6. Step 6: Final answer
    x = 44,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.