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Finding the Fourth Proportional to 83,853.56, 115,707.38 and 56,688.72

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Solution

The fourth proportional to 83,853.56, 115,707.38 and 56,688.72 is: 78,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,853.56 : 115,707.38 = 56,688.72 : x
  2. Step 2: Convert to fraction form
    83,853.56/115,707.38 = 56,688.72/x
  3. Step 3: Cross multiply
    83,853.56x = 115,707.38 × 56,688.72
  4. Step 4: Simplify right side
    83,853.56x = 6,559,303,266.75
  5. Step 5: Solve for x
    x = 6,559,303,266.75/83,853.56
  6. Step 6: Final answer
    x = 78,223.31

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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.