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Finding the Fourth Proportional to 31,577.59, 43,577.43 and 17,430.43

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Solution

The fourth proportional to 31,577.59, 43,577.43 and 17,430.43 is: 24,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,577.59 : 43,577.43 = 17,430.43 : x
  2. Step 2: Convert to fraction form
    31,577.59/43,577.43 = 17,430.43/x
  3. Step 3: Cross multiply
    31,577.59x = 43,577.43 × 17,430.43
  4. Step 4: Simplify right side
    31,577.59x = 759,573,343.19
  5. Step 5: Solve for x
    x = 759,573,343.19/31,577.59
  6. Step 6: Final answer
    x = 24,054.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.