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Finding the Fourth Proportional to 32,602.18, 48,902.88 and 10,415.26

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Solution

The fourth proportional to 32,602.18, 48,902.88 and 10,415.26 is: 15,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.18 : 48,902.88 = 10,415.26 : x
  2. Step 2: Convert to fraction form
    32,602.18/48,902.88 = 10,415.26/x
  3. Step 3: Cross multiply
    32,602.18x = 48,902.88 × 10,415.26
  4. Step 4: Simplify right side
    32,602.18x = 509,336,209.95
  5. Step 5: Solve for x
    x = 509,336,209.95/32,602.18
  6. Step 6: Final answer
    x = 15,622.77

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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.