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Finding the Fourth Proportional to 32,071.24, 48,106.95 and 9,883.90

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Solution

The fourth proportional to 32,071.24, 48,106.95 and 9,883.90 is: 14,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.24 : 48,106.95 = 9,883.90 : x
  2. Step 2: Convert to fraction form
    32,071.24/48,106.95 = 9,883.90/x
  3. Step 3: Cross multiply
    32,071.24x = 48,106.95 × 9,883.90
  4. Step 4: Simplify right side
    32,071.24x = 475,484,283.11
  5. Step 5: Solve for x
    x = 475,484,283.11/32,071.24
  6. Step 6: Final answer
    x = 14,825.88

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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.