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Finding the Fourth Proportional to 59,598.81, 82,211.97 and 35,711.66

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Solution

The fourth proportional to 59,598.81, 82,211.97 and 35,711.66 is: 49,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,598.81 : 82,211.97 = 35,711.66 : x
  2. Step 2: Convert to fraction form
    59,598.81/82,211.97 = 35,711.66/x
  3. Step 3: Cross multiply
    59,598.81x = 82,211.97 × 35,711.66
  4. Step 4: Simplify right side
    59,598.81x = 2,935,925,509.51
  5. Step 5: Solve for x
    x = 2,935,925,509.51/59,598.81
  6. Step 6: Final answer
    x = 49,261.48

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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.