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Finding the Fourth Proportional to 97,002, 133,842.60 and 56,707.86

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Solution

The fourth proportional to 97,002, 133,842.60 and 56,707.86 is: 78,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,002 : 133,842.60 = 56,707.86 : x
  2. Step 2: Convert to fraction form
    97,002/133,842.60 = 56,707.86/x
  3. Step 3: Cross multiply
    97,002x = 133,842.60 × 56,707.86
  4. Step 4: Simplify right side
    97,002x = 7,589,927,422.84
  5. Step 5: Solve for x
    x = 7,589,927,422.84/97,002
  6. Step 6: Final answer
    x = 78,245.06

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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.