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Finding the Fourth Proportional to 35,853.12, 53,782.80 and 9,558

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Solution

The fourth proportional to 35,853.12, 53,782.80 and 9,558 is: 14,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,853.12 : 53,782.80 = 9,558 : x
  2. Step 2: Convert to fraction form
    35,853.12/53,782.80 = 9,558/x
  3. Step 3: Cross multiply
    35,853.12x = 53,782.80 × 9,558
  4. Step 4: Simplify right side
    35,853.12x = 514,056,002.40
  5. Step 5: Solve for x
    x = 514,056,002.40/35,853.12
  6. Step 6: Final answer
    x = 14,337.83

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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.