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Finding the Fourth Proportional to 105,046.32, 157,569.40 and 31,174.32

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Solution

The fourth proportional to 105,046.32, 157,569.40 and 31,174.32 is: 46,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046.32 : 157,569.40 = 31,174.32 : x
  2. Step 2: Convert to fraction form
    105,046.32/157,569.40 = 31,174.32/x
  3. Step 3: Cross multiply
    105,046.32x = 157,569.40 × 31,174.32
  4. Step 4: Simplify right side
    105,046.32x = 4,912,118,897.81
  5. Step 5: Solve for x
    x = 4,912,118,897.81/105,046.32
  6. Step 6: Final answer
    x = 46,761.46

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