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Finding the Fourth Proportional to 85,647.08, 128,433.36 and 40,681.46

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Solution

The fourth proportional to 85,647.08, 128,433.36 and 40,681.46 is: 61,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,647.08 : 128,433.36 = 40,681.46 : x
  2. Step 2: Convert to fraction form
    85,647.08/128,433.36 = 40,681.46/x
  3. Step 3: Cross multiply
    85,647.08x = 128,433.36 × 40,681.46
  4. Step 4: Simplify right side
    85,647.08x = 5,224,856,597.51
  5. Step 5: Solve for x
    x = 5,224,856,597.51/85,647.08
  6. Step 6: Final answer
    x = 61,004.49

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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.