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Finding the Fourth Proportional to 85,502.61, 117,993.24 and 47,776.86

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Solution

The fourth proportional to 85,502.61, 117,993.24 and 47,776.86 is: 65,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,502.61 : 117,993.24 = 47,776.86 : x
  2. Step 2: Convert to fraction form
    85,502.61/117,993.24 = 47,776.86/x
  3. Step 3: Cross multiply
    85,502.61x = 117,993.24 × 47,776.86
  4. Step 4: Simplify right side
    85,502.61x = 5,637,346,508.43
  5. Step 5: Solve for x
    x = 5,637,346,508.43/85,502.61
  6. Step 6: Final answer
    x = 65,931.86

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1.5x scale

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.