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Finding the Fourth Proportional to 32,603.24, 48,880.86 and 10,403.84

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Solution

The fourth proportional to 32,603.24, 48,880.86 and 10,403.84 is: 15,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.24 : 48,880.86 = 10,403.84 : x
  2. Step 2: Convert to fraction form
    32,603.24/48,880.86 = 10,403.84/x
  3. Step 3: Cross multiply
    32,603.24x = 48,880.86 × 10,403.84
  4. Step 4: Simplify right side
    32,603.24x = 508,548,646.50
  5. Step 5: Solve for x
    x = 508,548,646.50/32,603.24
  6. Step 6: Final answer
    x = 15,598.10

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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.