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Finding the Fourth Proportional to 48,802.16, 67,349.76 and 27,583.28

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Solution

The fourth proportional to 48,802.16, 67,349.76 and 27,583.28 is: 38,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,802.16 : 67,349.76 = 27,583.28 : x
  2. Step 2: Convert to fraction form
    48,802.16/67,349.76 = 27,583.28/x
  3. Step 3: Cross multiply
    48,802.16x = 67,349.76 × 27,583.28
  4. Step 4: Simplify right side
    48,802.16x = 1,857,727,288.01
  5. Step 5: Solve for x
    x = 1,857,727,288.01/48,802.16
  6. Step 6: Final answer
    x = 38,066.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.