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Finding the Fourth Proportional to 52,405.20, 72,307.94 and 31,180.32

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Solution

The fourth proportional to 52,405.20, 72,307.94 and 31,180.32 is: 43,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,405.20 : 72,307.94 = 31,180.32 : x
  2. Step 2: Convert to fraction form
    52,405.20/72,307.94 = 31,180.32/x
  3. Step 3: Cross multiply
    52,405.20x = 72,307.94 × 31,180.32
  4. Step 4: Simplify right side
    52,405.20x = 2,254,584,707.74
  5. Step 5: Solve for x
    x = 2,254,584,707.74/52,405.20
  6. Step 6: Final answer
    x = 43,022.16

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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.