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Finding the Fourth Proportional to 61,208.47, 84,468.32 and 33,985

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Solution

The fourth proportional to 61,208.47, 84,468.32 and 33,985 is: 46,899.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,208.47 : 84,468.32 = 33,985 : x
  2. Step 2: Convert to fraction form
    61,208.47/84,468.32 = 33,985/x
  3. Step 3: Cross multiply
    61,208.47x = 84,468.32 × 33,985
  4. Step 4: Simplify right side
    61,208.47x = 2,870,655,855.20
  5. Step 5: Solve for x
    x = 2,870,655,855.20/61,208.47
  6. Step 6: Final answer
    x = 46,899.65

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