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Finding the Fourth Proportional to 101,396, 152,114.40 and 31,272.32

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Solution

The fourth proportional to 101,396, 152,114.40 and 31,272.32 is: 46,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,396 : 152,114.40 = 31,272.32 : x
  2. Step 2: Convert to fraction form
    101,396/152,114.40 = 31,272.32/x
  3. Step 3: Cross multiply
    101,396x = 152,114.40 × 31,272.32
  4. Step 4: Simplify right side
    101,396x = 4,756,970,193.41
  5. Step 5: Solve for x
    x = 4,756,970,193.41/101,396
  6. Step 6: Final answer
    x = 46,914.77

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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.