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Finding the Fourth Proportional to 32,085.20, 48,133.08 and 9,897.84

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Solution

The fourth proportional to 32,085.20, 48,133.08 and 9,897.84 is: 14,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.20 : 48,133.08 = 9,897.84 : x
  2. Step 2: Convert to fraction form
    32,085.20/48,133.08 = 9,897.84/x
  3. Step 3: Cross multiply
    32,085.20x = 48,133.08 × 9,897.84
  4. Step 4: Simplify right side
    32,085.20x = 476,413,524.55
  5. Step 5: Solve for x
    x = 476,413,524.55/32,085.20
  6. Step 6: Final answer
    x = 14,848.39

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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.