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Finding the Fourth Proportional to 32,001.60, 48,106.08 and 31,846.08

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Solution

The fourth proportional to 32,001.60, 48,106.08 and 31,846.08 is: 47,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.60 : 48,106.08 = 31,846.08 : x
  2. Step 2: Convert to fraction form
    32,001.60/48,106.08 = 31,846.08/x
  3. Step 3: Cross multiply
    32,001.60x = 48,106.08 × 31,846.08
  4. Step 4: Simplify right side
    32,001.60x = 1,531,990,072.17
  5. Step 5: Solve for x
    x = 1,531,990,072.17/32,001.60
  6. Step 6: Final answer
    x = 47,872.30

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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.