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Finding the Fourth Proportional to 32,632.50, 45,032.85 and 17,728.50

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Solution

The fourth proportional to 32,632.50, 45,032.85 and 17,728.50 is: 24,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.50 : 45,032.85 = 17,728.50 : x
  2. Step 2: Convert to fraction form
    32,632.50/45,032.85 = 17,728.50/x
  3. Step 3: Cross multiply
    32,632.50x = 45,032.85 × 17,728.50
  4. Step 4: Simplify right side
    32,632.50x = 798,364,881.23
  5. Step 5: Solve for x
    x = 798,364,881.23/32,632.50
  6. Step 6: Final answer
    x = 24,465.33

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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.