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Finding the Fourth Proportional to 51,857.76, 77,780.16 and 14,420.64

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Solution

The fourth proportional to 51,857.76, 77,780.16 and 14,420.64 is: 21,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,857.76 : 77,780.16 = 14,420.64 : x
  2. Step 2: Convert to fraction form
    51,857.76/77,780.16 = 14,420.64/x
  3. Step 3: Cross multiply
    51,857.76x = 77,780.16 × 14,420.64
  4. Step 4: Simplify right side
    51,857.76x = 1,121,639,686.50
  5. Step 5: Solve for x
    x = 1,121,639,686.50/51,857.76
  6. Step 6: Final answer
    x = 21,629.16

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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.