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Finding the Fourth Proportional to 61,497.95, 84,875.31 and 34,645.77

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Solution

The fourth proportional to 61,497.95, 84,875.31 and 34,645.77 is: 47,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,497.95 : 84,875.31 = 34,645.77 : x
  2. Step 2: Convert to fraction form
    61,497.95/84,875.31 = 34,645.77/x
  3. Step 3: Cross multiply
    61,497.95x = 84,875.31 × 34,645.77
  4. Step 4: Simplify right side
    61,497.95x = 2,940,570,468.94
  5. Step 5: Solve for x
    x = 2,940,570,468.94/61,497.95
  6. Step 6: Final answer
    x = 47,815.75

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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.