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Finding the Fourth Proportional to 96,642.86, 133,376.10 and 56,369.66

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Solution

The fourth proportional to 96,642.86, 133,376.10 and 56,369.66 is: 77,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642.86 : 133,376.10 = 56,369.66 : x
  2. Step 2: Convert to fraction form
    96,642.86/133,376.10 = 56,369.66/x
  3. Step 3: Cross multiply
    96,642.86x = 133,376.10 × 56,369.66
  4. Step 4: Simplify right side
    96,642.86x = 7,518,365,409.13
  5. Step 5: Solve for x
    x = 7,518,365,409.13/96,642.86
  6. Step 6: Final answer
    x = 77,795.35

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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.