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Finding the Fourth Proportional to 65,009.56, 97,434.60 and 36,953.14

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Solution

The fourth proportional to 65,009.56, 97,434.60 and 36,953.14 is: 55,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.56 : 97,434.60 = 36,953.14 : x
  2. Step 2: Convert to fraction form
    65,009.56/97,434.60 = 36,953.14/x
  3. Step 3: Cross multiply
    65,009.56x = 97,434.60 × 36,953.14
  4. Step 4: Simplify right side
    65,009.56x = 3,600,514,414.64
  5. Step 5: Solve for x
    x = 3,600,514,414.64/65,009.56
  6. Step 6: Final answer
    x = 55,384.38

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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.