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Finding the Fourth Proportional to 55,817.34, 83,729.61 and 24,652.50

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Solution

The fourth proportional to 55,817.34, 83,729.61 and 24,652.50 is: 36,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817.34 : 83,729.61 = 24,652.50 : x
  2. Step 2: Convert to fraction form
    55,817.34/83,729.61 = 24,652.50/x
  3. Step 3: Cross multiply
    55,817.34x = 83,729.61 × 24,652.50
  4. Step 4: Simplify right side
    55,817.34x = 2,064,144,210.53
  5. Step 5: Solve for x
    x = 2,064,144,210.53/55,817.34
  6. Step 6: Final answer
    x = 36,980.34

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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.