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Finding the Fourth Proportional to 35,678.40, 53,518.14 and 13,502.22

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Solution

The fourth proportional to 35,678.40, 53,518.14 and 13,502.22 is: 20,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.40 : 53,518.14 = 13,502.22 : x
  2. Step 2: Convert to fraction form
    35,678.40/53,518.14 = 13,502.22/x
  3. Step 3: Cross multiply
    35,678.40x = 53,518.14 × 13,502.22
  4. Step 4: Simplify right side
    35,678.40x = 722,613,700.27
  5. Step 5: Solve for x
    x = 722,613,700.27/35,678.40
  6. Step 6: Final answer
    x = 20,253.53

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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.