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Finding the Fourth Proportional to 85,088, 127,633.08 and 29,684

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Solution

The fourth proportional to 85,088, 127,633.08 and 29,684 is: 44,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,088 : 127,633.08 = 29,684 : x
  2. Step 2: Convert to fraction form
    85,088/127,633.08 = 29,684/x
  3. Step 3: Cross multiply
    85,088x = 127,633.08 × 29,684
  4. Step 4: Simplify right side
    85,088x = 3,788,660,346.72
  5. Step 5: Solve for x
    x = 3,788,660,346.72/85,088
  6. Step 6: Final answer
    x = 44,526.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.