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Finding the Fourth Proportional to 50,888, 70,225.47 and 31,016

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Solution

The fourth proportional to 50,888, 70,225.47 and 31,016 is: 42,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,888 : 70,225.47 = 31,016 : x
  2. Step 2: Convert to fraction form
    50,888/70,225.47 = 31,016/x
  3. Step 3: Cross multiply
    50,888x = 70,225.47 × 31,016
  4. Step 4: Simplify right side
    50,888x = 2,178,113,177.52
  5. Step 5: Solve for x
    x = 2,178,113,177.52/50,888
  6. Step 6: Final answer
    x = 42,802.10

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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.