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Finding the Fourth Proportional to 32,316, 48,473.64 and 12,608.40

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Solution

The fourth proportional to 32,316, 48,473.64 and 12,608.40 is: 18,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,316 : 48,473.64 = 12,608.40 : x
  2. Step 2: Convert to fraction form
    32,316/48,473.64 = 12,608.40/x
  3. Step 3: Cross multiply
    32,316x = 48,473.64 × 12,608.40
  4. Step 4: Simplify right side
    32,316x = 611,175,042.58
  5. Step 5: Solve for x
    x = 611,175,042.58/32,316
  6. Step 6: Final answer
    x = 18,912.46

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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.