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Finding the Fourth Proportional to 59,203, 81,700.14 and 32,707

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Solution

The fourth proportional to 59,203, 81,700.14 and 32,707 is: 45,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,203 : 81,700.14 = 32,707 : x
  2. Step 2: Convert to fraction form
    59,203/81,700.14 = 32,707/x
  3. Step 3: Cross multiply
    59,203x = 81,700.14 × 32,707
  4. Step 4: Simplify right side
    59,203x = 2,672,166,478.98
  5. Step 5: Solve for x
    x = 2,672,166,478.98/59,203
  6. Step 6: Final answer
    x = 45,135.66

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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.