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Finding the Fourth Proportional to 32,623.64, 48,935.42 and 9,250.08

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Solution

The fourth proportional to 32,623.64, 48,935.42 and 9,250.08 is: 13,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,623.64 : 48,935.42 = 9,250.08 : x
  2. Step 2: Convert to fraction form
    32,623.64/48,935.42 = 9,250.08/x
  3. Step 3: Cross multiply
    32,623.64x = 48,935.42 × 9,250.08
  4. Step 4: Simplify right side
    32,623.64x = 452,656,549.83
  5. Step 5: Solve for x
    x = 452,656,549.83/32,623.64
  6. Step 6: Final answer
    x = 13,875.11

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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.