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Finding the Fourth Proportional to 32,603.13, 48,914.06 and 10,419.93

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Solution

The fourth proportional to 32,603.13, 48,914.06 and 10,419.93 is: 15,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.13 : 48,914.06 = 10,419.93 : x
  2. Step 2: Convert to fraction form
    32,603.13/48,914.06 = 10,419.93/x
  3. Step 3: Cross multiply
    32,603.13x = 48,914.06 × 10,419.93
  4. Step 4: Simplify right side
    32,603.13x = 509,681,029.12
  5. Step 5: Solve for x
    x = 509,681,029.12/32,603.13
  6. Step 6: Final answer
    x = 15,632.89

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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.