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Finding the Fourth Proportional to 34,477.60, 51,709.14 and 15,752.32

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Solution

The fourth proportional to 34,477.60, 51,709.14 and 15,752.32 is: 23,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.60 : 51,709.14 = 15,752.32 : x
  2. Step 2: Convert to fraction form
    34,477.60/51,709.14 = 15,752.32/x
  3. Step 3: Cross multiply
    34,477.60x = 51,709.14 × 15,752.32
  4. Step 4: Simplify right side
    34,477.60x = 814,538,920.20
  5. Step 5: Solve for x
    x = 814,538,920.20/34,477.60
  6. Step 6: Final answer
    x = 23,625.16

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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.