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Finding the Fourth Proportional to 103,157, 154,804.62 and 37,493

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Solution

The fourth proportional to 103,157, 154,804.62 and 37,493 is: 56,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,157 : 154,804.62 = 37,493 : x
  2. Step 2: Convert to fraction form
    103,157/154,804.62 = 37,493/x
  3. Step 3: Cross multiply
    103,157x = 154,804.62 × 37,493
  4. Step 4: Simplify right side
    103,157x = 5,804,089,617.66
  5. Step 5: Solve for x
    x = 5,804,089,617.66/103,157
  6. Step 6: Final answer
    x = 56,264.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.