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Finding the Fourth Proportional to 32,415.06, 48,603.14 and 12,670.08

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Solution

The fourth proportional to 32,415.06, 48,603.14 and 12,670.08 is: 18,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.06 : 48,603.14 = 12,670.08 : x
  2. Step 2: Convert to fraction form
    32,415.06/48,603.14 = 12,670.08/x
  3. Step 3: Cross multiply
    32,415.06x = 48,603.14 × 12,670.08
  4. Step 4: Simplify right side
    32,415.06x = 615,805,672.05
  5. Step 5: Solve for x
    x = 615,805,672.05/32,415.06
  6. Step 6: Final answer
    x = 18,997.52

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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.