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Finding the Fourth Proportional to 97,284.48, 145,663.56 and 50,438.88

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Solution

The fourth proportional to 97,284.48, 145,663.56 and 50,438.88 is: 75,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,284.48 : 145,663.56 = 50,438.88 : x
  2. Step 2: Convert to fraction form
    97,284.48/145,663.56 = 50,438.88/x
  3. Step 3: Cross multiply
    97,284.48x = 145,663.56 × 50,438.88
  4. Step 4: Simplify right side
    97,284.48x = 7,347,106,823.21
  5. Step 5: Solve for x
    x = 7,347,106,823.21/97,284.48
  6. Step 6: Final answer
    x = 75,521.88

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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.