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Finding the Fourth Proportional to 35,782.49, 53,673.74 and 13,590.62

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Solution

The fourth proportional to 35,782.49, 53,673.74 and 13,590.62 is: 20,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.49 : 53,673.74 = 13,590.62 : x
  2. Step 2: Convert to fraction form
    35,782.49/53,673.74 = 13,590.62/x
  3. Step 3: Cross multiply
    35,782.49x = 53,673.74 × 13,590.62
  4. Step 4: Simplify right side
    35,782.49x = 729,459,320.24
  5. Step 5: Solve for x
    x = 729,459,320.24/35,782.49
  6. Step 6: Final answer
    x = 20,385.93

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