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Finding the Fourth Proportional to 65,193.80, 97,824.06 and 31,038.23

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Solution

The fourth proportional to 65,193.80, 97,824.06 and 31,038.23 is: 46,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.80 : 97,824.06 = 31,038.23 : x
  2. Step 2: Convert to fraction form
    65,193.80/97,824.06 = 31,038.23/x
  3. Step 3: Cross multiply
    65,193.80x = 97,824.06 × 31,038.23
  4. Step 4: Simplify right side
    65,193.80x = 3,036,285,184.69
  5. Step 5: Solve for x
    x = 3,036,285,184.69/65,193.80
  6. Step 6: Final answer
    x = 46,573.22

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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.