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Finding the Fourth Proportional to 69,769.60, 97,852.40 and 69,769.60

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Solution

The fourth proportional to 69,769.60, 97,852.40 and 69,769.60 is: 97,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,769.60 : 97,852.40 = 69,769.60 : x
  2. Step 2: Convert to fraction form
    69,769.60/97,852.40 = 69,769.60/x
  3. Step 3: Cross multiply
    69,769.60x = 97,852.40 × 69,769.60
  4. Step 4: Simplify right side
    69,769.60x = 6,827,122,807.04
  5. Step 5: Solve for x
    x = 6,827,122,807.04/69,769.60
  6. Step 6: Final answer
    x = 97,852.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.