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Finding the Fourth Proportional to 35,842.09, 53,752.20 and 9,543.42

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Solution

The fourth proportional to 35,842.09, 53,752.20 and 9,543.42 is: 14,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.09 : 53,752.20 = 9,543.42 : x
  2. Step 2: Convert to fraction form
    35,842.09/53,752.20 = 9,543.42/x
  3. Step 3: Cross multiply
    35,842.09x = 53,752.20 × 9,543.42
  4. Step 4: Simplify right side
    35,842.09x = 512,979,551.76
  5. Step 5: Solve for x
    x = 512,979,551.76/35,842.09
  6. Step 6: Final answer
    x = 14,312.21

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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.