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Finding the Fourth Proportional to 35,573.29, 53,359.92 and 9,277.96

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Solution

The fourth proportional to 35,573.29, 53,359.92 and 9,277.96 is: 13,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,573.29 : 53,359.92 = 9,277.96 : x
  2. Step 2: Convert to fraction form
    35,573.29/53,359.92 = 9,277.96/x
  3. Step 3: Cross multiply
    35,573.29x = 53,359.92 × 9,277.96
  4. Step 4: Simplify right side
    35,573.29x = 495,071,203.36
  5. Step 5: Solve for x
    x = 495,071,203.36/35,573.29
  6. Step 6: Final answer
    x = 13,916.94

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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.