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Finding the Fourth Proportional to 32,159.16, 48,238.74 and 9,972

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Solution

The fourth proportional to 32,159.16, 48,238.74 and 9,972 is: 14,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,159.16 : 48,238.74 = 9,972 : x
  2. Step 2: Convert to fraction form
    32,159.16/48,238.74 = 9,972/x
  3. Step 3: Cross multiply
    32,159.16x = 48,238.74 × 9,972
  4. Step 4: Simplify right side
    32,159.16x = 481,036,715.28
  5. Step 5: Solve for x
    x = 481,036,715.28/32,159.16
  6. Step 6: Final answer
    x = 14,958

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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.