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Finding the Fourth Proportional to 32,086.99, 44,281.59 and 17,746.75

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Solution

The fourth proportional to 32,086.99, 44,281.59 and 17,746.75 is: 24,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,086.99 : 44,281.59 = 17,746.75 : x
  2. Step 2: Convert to fraction form
    32,086.99/44,281.59 = 17,746.75/x
  3. Step 3: Cross multiply
    32,086.99x = 44,281.59 × 17,746.75
  4. Step 4: Simplify right side
    32,086.99x = 785,854,570.41
  5. Step 5: Solve for x
    x = 785,854,570.41/32,086.99
  6. Step 6: Final answer
    x = 24,491.38

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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.