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Finding the Fourth Proportional to 32,607.07, 48,892.24 and 10,415.23

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Solution

The fourth proportional to 32,607.07, 48,892.24 and 10,415.23 is: 15,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607.07 : 48,892.24 = 10,415.23 : x
  2. Step 2: Convert to fraction form
    32,607.07/48,892.24 = 10,415.23/x
  3. Step 3: Cross multiply
    32,607.07x = 48,892.24 × 10,415.23
  4. Step 4: Simplify right side
    32,607.07x = 509,223,924.82
  5. Step 5: Solve for x
    x = 509,223,924.82/32,607.07
  6. Step 6: Final answer
    x = 15,616.98

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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.