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Finding the Fourth Proportional to 42,824, 59,032.32 and 36,823.52

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Solution

The fourth proportional to 42,824, 59,032.32 and 36,823.52 is: 50,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,824 : 59,032.32 = 36,823.52 : x
  2. Step 2: Convert to fraction form
    42,824/59,032.32 = 36,823.52/x
  3. Step 3: Cross multiply
    42,824x = 59,032.32 × 36,823.52
  4. Step 4: Simplify right side
    42,824x = 2,173,777,816.17
  5. Step 5: Solve for x
    x = 2,173,777,816.17/42,824
  6. Step 6: Final answer
    x = 50,760.74

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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.