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Finding the Fourth Proportional to 32,548.86, 48,805.71 and 17,564.01

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Solution

The fourth proportional to 32,548.86, 48,805.71 and 17,564.01 is: 26,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.86 : 48,805.71 = 17,564.01 : x
  2. Step 2: Convert to fraction form
    32,548.86/48,805.71 = 17,564.01/x
  3. Step 3: Cross multiply
    32,548.86x = 48,805.71 × 17,564.01
  4. Step 4: Simplify right side
    32,548.86x = 857,223,978.50
  5. Step 5: Solve for x
    x = 857,223,978.50/32,548.86
  6. Step 6: Final answer
    x = 26,336.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.