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Finding the Fourth Proportional to 50,497.47, 69,678.36 and 30,349.53

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Solution

The fourth proportional to 50,497.47, 69,678.36 and 30,349.53 is: 41,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.47 : 69,678.36 = 30,349.53 : x
  2. Step 2: Convert to fraction form
    50,497.47/69,678.36 = 30,349.53/x
  3. Step 3: Cross multiply
    50,497.47x = 69,678.36 × 30,349.53
  4. Step 4: Simplify right side
    50,497.47x = 2,114,705,477.17
  5. Step 5: Solve for x
    x = 2,114,705,477.17/50,497.47
  6. Step 6: Final answer
    x = 41,877.45

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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.