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Finding the Fourth Proportional to 32,603.34, 48,907.62 and 10,419.87

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Solution

The fourth proportional to 32,603.34, 48,907.62 and 10,419.87 is: 15,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.34 : 48,907.62 = 10,419.87 : x
  2. Step 2: Convert to fraction form
    32,603.34/48,907.62 = 10,419.87/x
  3. Step 3: Cross multiply
    32,603.34x = 48,907.62 × 10,419.87
  4. Step 4: Simplify right side
    32,603.34x = 509,611,042.41
  5. Step 5: Solve for x
    x = 509,611,042.41/32,603.34
  6. Step 6: Final answer
    x = 15,630.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.