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Finding the Fourth Proportional to 56,422.66, 77,856.08 and 32,549.38

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Solution

The fourth proportional to 56,422.66, 77,856.08 and 32,549.38 is: 44,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,422.66 : 77,856.08 = 32,549.38 : x
  2. Step 2: Convert to fraction form
    56,422.66/77,856.08 = 32,549.38/x
  3. Step 3: Cross multiply
    56,422.66x = 77,856.08 × 32,549.38
  4. Step 4: Simplify right side
    56,422.66x = 2,534,167,133.23
  5. Step 5: Solve for x
    x = 2,534,167,133.23/56,422.66
  6. Step 6: Final answer
    x = 44,914.00

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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.