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Finding the Fourth Proportional to 77,389.50, 116,091 and 21,985.50

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Solution

The fourth proportional to 77,389.50, 116,091 and 21,985.50 is: 32,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,389.50 : 116,091 = 21,985.50 : x
  2. Step 2: Convert to fraction form
    77,389.50/116,091 = 21,985.50/x
  3. Step 3: Cross multiply
    77,389.50x = 116,091 × 21,985.50
  4. Step 4: Simplify right side
    77,389.50x = 2,552,318,680.50
  5. Step 5: Solve for x
    x = 2,552,318,680.50/77,389.50
  6. Step 6: Final answer
    x = 32,980.17

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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.