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Finding the Fourth Proportional to 51,018.48, 76,509.36 and 17,730

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Solution

The fourth proportional to 51,018.48, 76,509.36 and 17,730 is: 26,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018.48 : 76,509.36 = 17,730 : x
  2. Step 2: Convert to fraction form
    51,018.48/76,509.36 = 17,730/x
  3. Step 3: Cross multiply
    51,018.48x = 76,509.36 × 17,730
  4. Step 4: Simplify right side
    51,018.48x = 1,356,510,952.80
  5. Step 5: Solve for x
    x = 1,356,510,952.80/51,018.48
  6. Step 6: Final answer
    x = 26,588.62

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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.