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Finding the Fourth Proportional to 61,849.44, 85,322.16 and 36,681.12

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Solution

The fourth proportional to 61,849.44, 85,322.16 and 36,681.12 is: 50,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,849.44 : 85,322.16 = 36,681.12 : x
  2. Step 2: Convert to fraction form
    61,849.44/85,322.16 = 36,681.12/x
  3. Step 3: Cross multiply
    61,849.44x = 85,322.16 × 36,681.12
  4. Step 4: Simplify right side
    61,849.44x = 3,129,712,389.62
  5. Step 5: Solve for x
    x = 3,129,712,389.62/61,849.44
  6. Step 6: Final answer
    x = 50,602.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.