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Finding the Fourth Proportional to 68,705.50, 94,813.59 and 38,897.50

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Solution

The fourth proportional to 68,705.50, 94,813.59 and 38,897.50 is: 53,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,705.50 : 94,813.59 = 38,897.50 : x
  2. Step 2: Convert to fraction form
    68,705.50/94,813.59 = 38,897.50/x
  3. Step 3: Cross multiply
    68,705.50x = 94,813.59 × 38,897.50
  4. Step 4: Simplify right side
    68,705.50x = 3,688,011,617.03
  5. Step 5: Solve for x
    x = 3,688,011,617.03/68,705.50
  6. Step 6: Final answer
    x = 53,678.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.