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Finding the Fourth Proportional to 52,185.52, 78,252.02 and 25,533.50

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Solution

The fourth proportional to 52,185.52, 78,252.02 and 25,533.50 is: 38,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,185.52 : 78,252.02 = 25,533.50 : x
  2. Step 2: Convert to fraction form
    52,185.52/78,252.02 = 25,533.50/x
  3. Step 3: Cross multiply
    52,185.52x = 78,252.02 × 25,533.50
  4. Step 4: Simplify right side
    52,185.52x = 1,998,047,952.67
  5. Step 5: Solve for x
    x = 1,998,047,952.67/52,185.52
  6. Step 6: Final answer
    x = 38,287.40

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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.