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Finding the Fourth Proportional to 40,760, 56,248.08 and 22,854.95

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Solution

The fourth proportional to 40,760, 56,248.08 and 22,854.95 is: 31,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,760 : 56,248.08 = 22,854.95 : x
  2. Step 2: Convert to fraction form
    40,760/56,248.08 = 22,854.95/x
  3. Step 3: Cross multiply
    40,760x = 56,248.08 × 22,854.95
  4. Step 4: Simplify right side
    40,760x = 1,285,547,056.00
  5. Step 5: Solve for x
    x = 1,285,547,056.00/40,760
  6. Step 6: Final answer
    x = 31,539.43

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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.