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Finding the Fourth Proportional to 92,965.34, 139,457.92 and 29,762.86

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Solution

The fourth proportional to 92,965.34, 139,457.92 and 29,762.86 is: 44,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,965.34 : 139,457.92 = 29,762.86 : x
  2. Step 2: Convert to fraction form
    92,965.34/139,457.92 = 29,762.86/x
  3. Step 3: Cross multiply
    92,965.34x = 139,457.92 × 29,762.86
  4. Step 4: Simplify right side
    92,965.34x = 4,150,666,125.80
  5. Step 5: Solve for x
    x = 4,150,666,125.80/92,965.34
  6. Step 6: Final answer
    x = 44,647.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.