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Finding the Fourth Proportional to 65,315.80, 97,957.23 and 31,548.52

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Solution

The fourth proportional to 65,315.80, 97,957.23 and 31,548.52 is: 47,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,315.80 : 97,957.23 = 31,548.52 : x
  2. Step 2: Convert to fraction form
    65,315.80/97,957.23 = 31,548.52/x
  3. Step 3: Cross multiply
    65,315.80x = 97,957.23 × 31,548.52
  4. Step 4: Simplify right side
    65,315.80x = 3,090,405,629.80
  5. Step 5: Solve for x
    x = 3,090,405,629.80/65,315.80
  6. Step 6: Final answer
    x = 47,314.82

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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.