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Finding the Fourth Proportional to 65,109.80, 97,697.10 and 37,051.40

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Solution

The fourth proportional to 65,109.80, 97,697.10 and 37,051.40 is: 55,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.80 : 97,697.10 = 37,051.40 : x
  2. Step 2: Convert to fraction form
    65,109.80/97,697.10 = 37,051.40/x
  3. Step 3: Cross multiply
    65,109.80x = 97,697.10 × 37,051.40
  4. Step 4: Simplify right side
    65,109.80x = 3,619,814,330.94
  5. Step 5: Solve for x
    x = 3,619,814,330.94/65,109.80
  6. Step 6: Final answer
    x = 55,595.54

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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.