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Finding the Fourth Proportional to 32,177.99, 48,265.07 and 19,113.50

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Solution

The fourth proportional to 32,177.99, 48,265.07 and 19,113.50 is: 28,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.99 : 48,265.07 = 19,113.50 : x
  2. Step 2: Convert to fraction form
    32,177.99/48,265.07 = 19,113.50/x
  3. Step 3: Cross multiply
    32,177.99x = 48,265.07 × 19,113.50
  4. Step 4: Simplify right side
    32,177.99x = 922,514,440.54
  5. Step 5: Solve for x
    x = 922,514,440.54/32,177.99
  6. Step 6: Final answer
    x = 28,669.11

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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.