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Finding the Fourth Proportional to 85,707.50, 128,559.88 and 28,785.36

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Solution

The fourth proportional to 85,707.50, 128,559.88 and 28,785.36 is: 43,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,707.50 : 128,559.88 = 28,785.36 : x
  2. Step 2: Convert to fraction form
    85,707.50/128,559.88 = 28,785.36/x
  3. Step 3: Cross multiply
    85,707.50x = 128,559.88 × 28,785.36
  4. Step 4: Simplify right side
    85,707.50x = 3,700,642,427.36
  5. Step 5: Solve for x
    x = 3,700,642,427.36/85,707.50
  6. Step 6: Final answer
    x = 43,177.58

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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.