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Finding the Fourth Proportional to 35,814.40, 53,721.60 and 9,521.80

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Solution

The fourth proportional to 35,814.40, 53,721.60 and 9,521.80 is: 14,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.40 : 53,721.60 = 9,521.80 : x
  2. Step 2: Convert to fraction form
    35,814.40/53,721.60 = 9,521.80/x
  3. Step 3: Cross multiply
    35,814.40x = 53,721.60 × 9,521.80
  4. Step 4: Simplify right side
    35,814.40x = 511,526,330.88
  5. Step 5: Solve for x
    x = 511,526,330.88/35,814.40
  6. Step 6: Final answer
    x = 14,282.70

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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.