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Finding the Fourth Proportional to 31,430.97, 43,374.35 and 23,400.50

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Solution

The fourth proportional to 31,430.97, 43,374.35 and 23,400.50 is: 32,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.97 : 43,374.35 = 23,400.50 : x
  2. Step 2: Convert to fraction form
    31,430.97/43,374.35 = 23,400.50/x
  3. Step 3: Cross multiply
    31,430.97x = 43,374.35 × 23,400.50
  4. Step 4: Simplify right side
    31,430.97x = 1,014,981,477.18
  5. Step 5: Solve for x
    x = 1,014,981,477.18/31,430.97
  6. Step 6: Final answer
    x = 32,292.40

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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.