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Finding the Fourth Proportional to 97,133.80, 134,055.30 and 61,321.96

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Solution

The fourth proportional to 97,133.80, 134,055.30 and 61,321.96 is: 84,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,133.80 : 134,055.30 = 61,321.96 : x
  2. Step 2: Convert to fraction form
    97,133.80/134,055.30 = 61,321.96/x
  3. Step 3: Cross multiply
    97,133.80x = 134,055.30 × 61,321.96
  4. Step 4: Simplify right side
    97,133.80x = 8,220,533,744.39
  5. Step 5: Solve for x
    x = 8,220,533,744.39/97,133.80
  6. Step 6: Final answer
    x = 84,631.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.