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Finding the Fourth Proportional to 98,790.94, 148,200.84 and 32,214.71

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Solution

The fourth proportional to 98,790.94, 148,200.84 and 32,214.71 is: 48,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,790.94 : 148,200.84 = 32,214.71 : x
  2. Step 2: Convert to fraction form
    98,790.94/148,200.84 = 32,214.71/x
  3. Step 3: Cross multiply
    98,790.94x = 148,200.84 × 32,214.71
  4. Step 4: Simplify right side
    98,790.94x = 4,774,247,452.86
  5. Step 5: Solve for x
    x = 4,774,247,452.86/98,790.94
  6. Step 6: Final answer
    x = 48,326.77

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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.