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Finding the Fourth Proportional to 32,089.94, 48,116.44 and 12,365.96

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Solution

The fourth proportional to 32,089.94, 48,116.44 and 12,365.96 is: 18,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.94 : 48,116.44 = 12,365.96 : x
  2. Step 2: Convert to fraction form
    32,089.94/48,116.44 = 12,365.96/x
  3. Step 3: Cross multiply
    32,089.94x = 48,116.44 × 12,365.96
  4. Step 4: Simplify right side
    32,089.94x = 595,005,972.38
  5. Step 5: Solve for x
    x = 595,005,972.38/32,089.94
  6. Step 6: Final answer
    x = 18,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.