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Finding the Fourth Proportional to 65,114.90, 97,672.35 and 35,590.40

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Solution

The fourth proportional to 65,114.90, 97,672.35 and 35,590.40 is: 53,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.90 : 97,672.35 = 35,590.40 : x
  2. Step 2: Convert to fraction form
    65,114.90/97,672.35 = 35,590.40/x
  3. Step 3: Cross multiply
    65,114.90x = 97,672.35 × 35,590.40
  4. Step 4: Simplify right side
    65,114.90x = 3,476,198,005.44
  5. Step 5: Solve for x
    x = 3,476,198,005.44/65,114.90
  6. Step 6: Final answer
    x = 53,385.60

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