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Finding the Fourth Proportional to 105,232.60, 157,848.90 and 31,360.60

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Solution

The fourth proportional to 105,232.60, 157,848.90 and 31,360.60 is: 47,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,232.60 : 157,848.90 = 31,360.60 : x
  2. Step 2: Convert to fraction form
    105,232.60/157,848.90 = 31,360.60/x
  3. Step 3: Cross multiply
    105,232.60x = 157,848.90 × 31,360.60
  4. Step 4: Simplify right side
    105,232.60x = 4,950,236,213.34
  5. Step 5: Solve for x
    x = 4,950,236,213.34/105,232.60
  6. Step 6: Final answer
    x = 47,040.90

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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.