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Finding the Fourth Proportional to 32,726.34, 49,085.84 and 9,035.66

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Solution

The fourth proportional to 32,726.34, 49,085.84 and 9,035.66 is: 13,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,726.34 : 49,085.84 = 9,035.66 : x
  2. Step 2: Convert to fraction form
    32,726.34/49,085.84 = 9,035.66/x
  3. Step 3: Cross multiply
    32,726.34x = 49,085.84 × 9,035.66
  4. Step 4: Simplify right side
    32,726.34x = 443,522,670.45
  5. Step 5: Solve for x
    x = 443,522,670.45/32,726.34
  6. Step 6: Final answer
    x = 13,552.47

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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.