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Finding the Fourth Proportional to 65,076.46, 97,579.65 and 35,106.78

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Solution

The fourth proportional to 65,076.46, 97,579.65 and 35,106.78 is: 52,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,076.46 : 97,579.65 = 35,106.78 : x
  2. Step 2: Convert to fraction form
    65,076.46/97,579.65 = 35,106.78/x
  3. Step 3: Cross multiply
    65,076.46x = 97,579.65 × 35,106.78
  4. Step 4: Simplify right side
    65,076.46x = 3,425,707,802.60
  5. Step 5: Solve for x
    x = 3,425,707,802.60/65,076.46
  6. Step 6: Final answer
    x = 52,641.27

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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.