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Finding the Fourth Proportional to 98,718.94, 148,078.30 and 32,158.97

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Solution

The fourth proportional to 98,718.94, 148,078.30 and 32,158.97 is: 48,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,718.94 : 148,078.30 = 32,158.97 : x
  2. Step 2: Convert to fraction form
    98,718.94/148,078.30 = 32,158.97/x
  3. Step 3: Cross multiply
    98,718.94x = 148,078.30 × 32,158.97
  4. Step 4: Simplify right side
    98,718.94x = 4,762,045,607.35
  5. Step 5: Solve for x
    x = 4,762,045,607.35/98,718.94
  6. Step 6: Final answer
    x = 48,238.42

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1.5x scale

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.