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Finding the Fourth Proportional to 35,658.12, 53,483.22 and 9,365.88

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Solution

The fourth proportional to 35,658.12, 53,483.22 and 9,365.88 is: 14,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.12 : 53,483.22 = 9,365.88 : x
  2. Step 2: Convert to fraction form
    35,658.12/53,483.22 = 9,365.88/x
  3. Step 3: Cross multiply
    35,658.12x = 53,483.22 × 9,365.88
  4. Step 4: Simplify right side
    35,658.12x = 500,917,420.53
  5. Step 5: Solve for x
    x = 500,917,420.53/35,658.12
  6. Step 6: Final answer
    x = 14,047.78

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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.