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Finding the Fourth Proportional to 32,585.50, 44,967.99 and 17,681.50

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Solution

The fourth proportional to 32,585.50, 44,967.99 and 17,681.50 is: 24,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.50 : 44,967.99 = 17,681.50 : x
  2. Step 2: Convert to fraction form
    32,585.50/44,967.99 = 17,681.50/x
  3. Step 3: Cross multiply
    32,585.50x = 44,967.99 × 17,681.50
  4. Step 4: Simplify right side
    32,585.50x = 795,101,515.19
  5. Step 5: Solve for x
    x = 795,101,515.19/32,585.50
  6. Step 6: Final answer
    x = 24,400.47

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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.