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Finding the Fourth Proportional to 43,980.74, 65,971.16 and 10,700.81

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Solution

The fourth proportional to 43,980.74, 65,971.16 and 10,700.81 is: 16,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,980.74 : 65,971.16 = 10,700.81 : x
  2. Step 2: Convert to fraction form
    43,980.74/65,971.16 = 10,700.81/x
  3. Step 3: Cross multiply
    43,980.74x = 65,971.16 × 10,700.81
  4. Step 4: Simplify right side
    43,980.74x = 705,944,545.54
  5. Step 5: Solve for x
    x = 705,944,545.54/43,980.74
  6. Step 6: Final answer
    x = 16,051.22

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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.