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Finding the Fourth Proportional to 35,740.75, 53,613.42 and 9,444.82

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Solution

The fourth proportional to 35,740.75, 53,613.42 and 9,444.82 is: 14,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.75 : 53,613.42 = 9,444.82 : x
  2. Step 2: Convert to fraction form
    35,740.75/53,613.42 = 9,444.82/x
  3. Step 3: Cross multiply
    35,740.75x = 53,613.42 × 9,444.82
  4. Step 4: Simplify right side
    35,740.75x = 506,369,101.48
  5. Step 5: Solve for x
    x = 506,369,101.48/35,740.75
  6. Step 6: Final answer
    x = 14,167.84

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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.