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Finding the Fourth Proportional to 85,088.50, 127,633.83 and 29,684.50

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Solution

The fourth proportional to 85,088.50, 127,633.83 and 29,684.50 is: 44,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,088.50 : 127,633.83 = 29,684.50 : x
  2. Step 2: Convert to fraction form
    85,088.50/127,633.83 = 29,684.50/x
  3. Step 3: Cross multiply
    85,088.50x = 127,633.83 × 29,684.50
  4. Step 4: Simplify right side
    85,088.50x = 3,788,746,426.64
  5. Step 5: Solve for x
    x = 3,788,746,426.64/85,088.50
  6. Step 6: Final answer
    x = 44,527.13

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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.