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Finding the Fourth Proportional to 32,444.52, 48,629.40 and 14,656

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Solution

The fourth proportional to 32,444.52, 48,629.40 and 14,656 is: 21,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,444.52 : 48,629.40 = 14,656 : x
  2. Step 2: Convert to fraction form
    32,444.52/48,629.40 = 14,656/x
  3. Step 3: Cross multiply
    32,444.52x = 48,629.40 × 14,656
  4. Step 4: Simplify right side
    32,444.52x = 712,712,486.40
  5. Step 5: Solve for x
    x = 712,712,486.40/32,444.52
  6. Step 6: Final answer
    x = 21,967.11

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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.