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Finding the Fourth Proportional to 32,181.64, 48,235.08 and 19,045.08

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Solution

The fourth proportional to 32,181.64, 48,235.08 and 19,045.08 is: 28,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181.64 : 48,235.08 = 19,045.08 : x
  2. Step 2: Convert to fraction form
    32,181.64/48,235.08 = 19,045.08/x
  3. Step 3: Cross multiply
    32,181.64x = 48,235.08 × 19,045.08
  4. Step 4: Simplify right side
    32,181.64x = 918,640,957.41
  5. Step 5: Solve for x
    x = 918,640,957.41/32,181.64
  6. Step 6: Final answer
    x = 28,545.50

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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.