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Finding the Fourth Proportional to 32,051.84, 48,077.76 and 30,345.92

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Solution

The fourth proportional to 32,051.84, 48,077.76 and 30,345.92 is: 45,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.84 : 48,077.76 = 30,345.92 : x
  2. Step 2: Convert to fraction form
    32,051.84/48,077.76 = 30,345.92/x
  3. Step 3: Cross multiply
    32,051.84x = 48,077.76 × 30,345.92
  4. Step 4: Simplify right side
    32,051.84x = 1,458,963,858.74
  5. Step 5: Solve for x
    x = 1,458,963,858.74/32,051.84
  6. Step 6: Final answer
    x = 45,518.88

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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.