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Finding the Fourth Proportional to 64,865.80, 97,272.66 and 31,576.16

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Solution

The fourth proportional to 64,865.80, 97,272.66 and 31,576.16 is: 47,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,865.80 : 97,272.66 = 31,576.16 : x
  2. Step 2: Convert to fraction form
    64,865.80/97,272.66 = 31,576.16/x
  3. Step 3: Cross multiply
    64,865.80x = 97,272.66 × 31,576.16
  4. Step 4: Simplify right side
    64,865.80x = 3,071,497,075.79
  5. Step 5: Solve for x
    x = 3,071,497,075.79/64,865.80
  6. Step 6: Final answer
    x = 47,351.56

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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.