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Finding the Fourth Proportional to 35,782.59, 53,675.10 and 9,489.99

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Solution

The fourth proportional to 35,782.59, 53,675.10 and 9,489.99 is: 14,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.59 : 53,675.10 = 9,489.99 : x
  2. Step 2: Convert to fraction form
    35,782.59/53,675.10 = 9,489.99/x
  3. Step 3: Cross multiply
    35,782.59x = 53,675.10 × 9,489.99
  4. Step 4: Simplify right side
    35,782.59x = 509,376,162.25
  5. Step 5: Solve for x
    x = 509,376,162.25/35,782.59
  6. Step 6: Final answer
    x = 14,235.31

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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.