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Finding the Fourth Proportional to 35,354.87, 53,032 and 9,059.23

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Solution

The fourth proportional to 35,354.87, 53,032 and 9,059.23 is: 13,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,354.87 : 53,032 = 9,059.23 : x
  2. Step 2: Convert to fraction form
    35,354.87/53,032 = 9,059.23/x
  3. Step 3: Cross multiply
    35,354.87x = 53,032 × 9,059.23
  4. Step 4: Simplify right side
    35,354.87x = 480,429,085.36
  5. Step 5: Solve for x
    x = 480,429,085.36/35,354.87
  6. Step 6: Final answer
    x = 13,588.77

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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.