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Finding the Fourth Proportional to 32,011.47, 48,015.38 and 9,824.81

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Solution

The fourth proportional to 32,011.47, 48,015.38 and 9,824.81 is: 14,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.47 : 48,015.38 = 9,824.81 : x
  2. Step 2: Convert to fraction form
    32,011.47/48,015.38 = 9,824.81/x
  3. Step 3: Cross multiply
    32,011.47x = 48,015.38 × 9,824.81
  4. Step 4: Simplify right side
    32,011.47x = 471,742,130.18
  5. Step 5: Solve for x
    x = 471,742,130.18/32,011.47
  6. Step 6: Final answer
    x = 14,736.66

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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.