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Finding the Fourth Proportional to 32,352.60, 48,512.70 and 14,802.60

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Solution

The fourth proportional to 32,352.60, 48,512.70 and 14,802.60 is: 22,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352.60 : 48,512.70 = 14,802.60 : x
  2. Step 2: Convert to fraction form
    32,352.60/48,512.70 = 14,802.60/x
  3. Step 3: Cross multiply
    32,352.60x = 48,512.70 × 14,802.60
  4. Step 4: Simplify right side
    32,352.60x = 718,114,093.02
  5. Step 5: Solve for x
    x = 718,114,093.02/32,352.60
  6. Step 6: Final answer
    x = 22,196.49

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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.