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Finding the Fourth Proportional to 92,176.92, 138,347.80 and 47,228.94

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Solution

The fourth proportional to 92,176.92, 138,347.80 and 47,228.94 is: 70,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,176.92 : 138,347.80 = 47,228.94 : x
  2. Step 2: Convert to fraction form
    92,176.92/138,347.80 = 47,228.94/x
  3. Step 3: Cross multiply
    92,176.92x = 138,347.80 × 47,228.94
  4. Step 4: Simplify right side
    92,176.92x = 6,534,019,827.26
  5. Step 5: Solve for x
    x = 6,534,019,827.26/92,176.92
  6. Step 6: Final answer
    x = 70,885.64

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1.5x scale

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.