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Finding the Fourth Proportional to 50,023.16, 75,007.02 and 20,461.74

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Solution

The fourth proportional to 50,023.16, 75,007.02 and 20,461.74 is: 30,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023.16 : 75,007.02 = 20,461.74 : x
  2. Step 2: Convert to fraction form
    50,023.16/75,007.02 = 20,461.74/x
  3. Step 3: Cross multiply
    50,023.16x = 75,007.02 × 20,461.74
  4. Step 4: Simplify right side
    50,023.16x = 1,534,774,141.41
  5. Step 5: Solve for x
    x = 1,534,774,141.41/50,023.16
  6. Step 6: Final answer
    x = 30,681.27

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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.