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Finding the Fourth Proportional to 32,238.51, 48,364.74 and 13,263.24

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Solution

The fourth proportional to 32,238.51, 48,364.74 and 13,263.24 is: 19,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.51 : 48,364.74 = 13,263.24 : x
  2. Step 2: Convert to fraction form
    32,238.51/48,364.74 = 13,263.24/x
  3. Step 3: Cross multiply
    32,238.51x = 48,364.74 × 13,263.24
  4. Step 4: Simplify right side
    32,238.51x = 641,473,154.16
  5. Step 5: Solve for x
    x = 641,473,154.16/32,238.51
  6. Step 6: Final answer
    x = 19,897.73

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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.