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Finding the Fourth Proportional to 109,708, 164,562.54 and 26,602

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Solution

The fourth proportional to 109,708, 164,562.54 and 26,602 is: 39,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,708 : 164,562.54 = 26,602 : x
  2. Step 2: Convert to fraction form
    109,708/164,562.54 = 26,602/x
  3. Step 3: Cross multiply
    109,708x = 164,562.54 × 26,602
  4. Step 4: Simplify right side
    109,708x = 4,377,692,689.08
  5. Step 5: Solve for x
    x = 4,377,692,689.08/109,708
  6. Step 6: Final answer
    x = 39,903.13

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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.