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Finding the Fourth Proportional to 31,307.50, 43,204.35 and 17,160.40

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Solution

The fourth proportional to 31,307.50, 43,204.35 and 17,160.40 is: 23,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.50 : 43,204.35 = 17,160.40 : x
  2. Step 2: Convert to fraction form
    31,307.50/43,204.35 = 17,160.40/x
  3. Step 3: Cross multiply
    31,307.50x = 43,204.35 × 17,160.40
  4. Step 4: Simplify right side
    31,307.50x = 741,403,927.74
  5. Step 5: Solve for x
    x = 741,403,927.74/31,307.50
  6. Step 6: Final answer
    x = 23,681.35

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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.