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Finding the Fourth Proportional to 92,364.16, 138,295.99 and 47,897.67

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Solution

The fourth proportional to 92,364.16, 138,295.99 and 47,897.67 is: 71,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,364.16 : 138,295.99 = 47,897.67 : x
  2. Step 2: Convert to fraction form
    92,364.16/138,295.99 = 47,897.67/x
  3. Step 3: Cross multiply
    92,364.16x = 138,295.99 × 47,897.67
  4. Step 4: Simplify right side
    92,364.16x = 6,624,054,999.86
  5. Step 5: Solve for x
    x = 6,624,054,999.86/92,364.16
  6. Step 6: Final answer
    x = 71,716.72

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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.