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Finding the Fourth Proportional to 96,594.50, 133,300.41 and 56,309.96

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Solution

The fourth proportional to 96,594.50, 133,300.41 and 56,309.96 is: 77,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594.50 : 133,300.41 = 56,309.96 : x
  2. Step 2: Convert to fraction form
    96,594.50/133,300.41 = 56,309.96/x
  3. Step 3: Cross multiply
    96,594.50x = 133,300.41 × 56,309.96
  4. Step 4: Simplify right side
    96,594.50x = 7,506,140,755.08
  5. Step 5: Solve for x
    x = 7,506,140,755.08/96,594.50
  6. Step 6: Final answer
    x = 77,707.74

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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.