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Finding the Fourth Proportional to 42,407.50, 58,649.34 and 37,093.06

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Solution

The fourth proportional to 42,407.50, 58,649.34 and 37,093.06 is: 51,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407.50 : 58,649.34 = 37,093.06 : x
  2. Step 2: Convert to fraction form
    42,407.50/58,649.34 = 37,093.06/x
  3. Step 3: Cross multiply
    42,407.50x = 58,649.34 × 37,093.06
  4. Step 4: Simplify right side
    42,407.50x = 2,175,483,487.58
  5. Step 5: Solve for x
    x = 2,175,483,487.58/42,407.50
  6. Step 6: Final answer
    x = 51,299.50

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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.