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Finding the Fourth Proportional to 50,417.16, 75,632.76 and 22,335

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Solution

The fourth proportional to 50,417.16, 75,632.76 and 22,335 is: 33,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,417.16 : 75,632.76 = 22,335 : x
  2. Step 2: Convert to fraction form
    50,417.16/75,632.76 = 22,335/x
  3. Step 3: Cross multiply
    50,417.16x = 75,632.76 × 22,335
  4. Step 4: Simplify right side
    50,417.16x = 1,689,257,694.60
  5. Step 5: Solve for x
    x = 1,689,257,694.60/50,417.16
  6. Step 6: Final answer
    x = 33,505.61

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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.