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Finding the Fourth Proportional to 99,655.74, 149,502.86 and 32,205.93

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Solution

The fourth proportional to 99,655.74, 149,502.86 and 32,205.93 is: 48,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,655.74 : 149,502.86 = 32,205.93 : x
  2. Step 2: Convert to fraction form
    99,655.74/149,502.86 = 32,205.93/x
  3. Step 3: Cross multiply
    99,655.74x = 149,502.86 × 32,205.93
  4. Step 4: Simplify right side
    99,655.74x = 4,814,878,644.70
  5. Step 5: Solve for x
    x = 4,814,878,644.70/99,655.74
  6. Step 6: Final answer
    x = 48,315.11

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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.