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Finding the Fourth Proportional to 32,148.84, 48,224.86 and 9,977.32

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Solution

The fourth proportional to 32,148.84, 48,224.86 and 9,977.32 is: 14,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.84 : 48,224.86 = 9,977.32 : x
  2. Step 2: Convert to fraction form
    32,148.84/48,224.86 = 9,977.32/x
  3. Step 3: Cross multiply
    32,148.84x = 48,224.86 × 9,977.32
  4. Step 4: Simplify right side
    32,148.84x = 481,154,860.18
  5. Step 5: Solve for x
    x = 481,154,860.18/32,148.84
  6. Step 6: Final answer
    x = 14,966.48

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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.