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Finding the Fourth Proportional to 67,561.50, 93,256.74 and 42,411

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Solution

The fourth proportional to 67,561.50, 93,256.74 and 42,411 is: 58,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,561.50 : 93,256.74 = 42,411 : x
  2. Step 2: Convert to fraction form
    67,561.50/93,256.74 = 42,411/x
  3. Step 3: Cross multiply
    67,561.50x = 93,256.74 × 42,411
  4. Step 4: Simplify right side
    67,561.50x = 3,955,111,600.14
  5. Step 5: Solve for x
    x = 3,955,111,600.14/67,561.50
  6. Step 6: Final answer
    x = 58,540.91

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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.