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Finding the Fourth Proportional to 34,536.88, 51,795.48 and 9,570.64

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Solution

The fourth proportional to 34,536.88, 51,795.48 and 9,570.64 is: 14,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536.88 : 51,795.48 = 9,570.64 : x
  2. Step 2: Convert to fraction form
    34,536.88/51,795.48 = 9,570.64/x
  3. Step 3: Cross multiply
    34,536.88x = 51,795.48 × 9,570.64
  4. Step 4: Simplify right side
    34,536.88x = 495,715,892.71
  5. Step 5: Solve for x
    x = 495,715,892.71/34,536.88
  6. Step 6: Final answer
    x = 14,353.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.