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Finding the Fourth Proportional to 98,695.50, 148,026.84 and 35,502.84

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Solution

The fourth proportional to 98,695.50, 148,026.84 and 35,502.84 is: 53,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,695.50 : 148,026.84 = 35,502.84 : x
  2. Step 2: Convert to fraction form
    98,695.50/148,026.84 = 35,502.84/x
  3. Step 3: Cross multiply
    98,695.50x = 148,026.84 × 35,502.84
  4. Step 4: Simplify right side
    98,695.50x = 5,255,373,216.23
  5. Step 5: Solve for x
    x = 5,255,373,216.23/98,695.50
  6. Step 6: Final answer
    x = 53,248.36

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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.