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Finding the Fourth Proportional to 43,706.16, 65,509.62 and 38,430.96

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Solution

The fourth proportional to 43,706.16, 65,509.62 and 38,430.96 is: 57,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706.16 : 65,509.62 = 38,430.96 : x
  2. Step 2: Convert to fraction form
    43,706.16/65,509.62 = 38,430.96/x
  3. Step 3: Cross multiply
    43,706.16x = 65,509.62 × 38,430.96
  4. Step 4: Simplify right side
    43,706.16x = 2,517,597,585.84
  5. Step 5: Solve for x
    x = 2,517,597,585.84/43,706.16
  6. Step 6: Final answer
    x = 57,602.81

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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.