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Finding the Fourth Proportional to 32,597.50, 44,984.59 and 17,693.50

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Solution

The fourth proportional to 32,597.50, 44,984.59 and 17,693.50 is: 24,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.50 : 44,984.59 = 17,693.50 : x
  2. Step 2: Convert to fraction form
    32,597.50/44,984.59 = 17,693.50/x
  3. Step 3: Cross multiply
    32,597.50x = 44,984.59 × 17,693.50
  4. Step 4: Simplify right side
    32,597.50x = 795,934,843.17
  5. Step 5: Solve for x
    x = 795,934,843.17/32,597.50
  6. Step 6: Final answer
    x = 24,417.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.