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Finding the Fourth Proportional to 102,317.58, 153,454.50 and 31,224.29

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Solution

The fourth proportional to 102,317.58, 153,454.50 and 31,224.29 is: 46,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317.58 : 153,454.50 = 31,224.29 : x
  2. Step 2: Convert to fraction form
    102,317.58/153,454.50 = 31,224.29/x
  3. Step 3: Cross multiply
    102,317.58x = 153,454.50 × 31,224.29
  4. Step 4: Simplify right side
    102,317.58x = 4,791,507,042.53
  5. Step 5: Solve for x
    x = 4,791,507,042.53/102,317.58
  6. Step 6: Final answer
    x = 46,829.75

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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.