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Finding the Fourth Proportional to 102,017.30, 153,037.60 and 27,140.50

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Solution

The fourth proportional to 102,017.30, 153,037.60 and 27,140.50 is: 40,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,017.30 : 153,037.60 = 27,140.50 : x
  2. Step 2: Convert to fraction form
    102,017.30/153,037.60 = 27,140.50/x
  3. Step 3: Cross multiply
    102,017.30x = 153,037.60 × 27,140.50
  4. Step 4: Simplify right side
    102,017.30x = 4,153,516,532.35
  5. Step 5: Solve for x
    x = 4,153,516,532.35/102,017.30
  6. Step 6: Final answer
    x = 40,713.84

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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.