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Finding the Fourth Proportional to 56,300.96, 77,675.28 and 36,178.40

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Solution

The fourth proportional to 56,300.96, 77,675.28 and 36,178.40 is: 49,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,300.96 : 77,675.28 = 36,178.40 : x
  2. Step 2: Convert to fraction form
    56,300.96/77,675.28 = 36,178.40/x
  3. Step 3: Cross multiply
    56,300.96x = 77,675.28 × 36,178.40
  4. Step 4: Simplify right side
    56,300.96x = 2,810,167,349.95
  5. Step 5: Solve for x
    x = 2,810,167,349.95/56,300.96
  6. Step 6: Final answer
    x = 49,913.31

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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.