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Finding the Fourth Proportional to 30,712.79, 46,069.74 and 11,005.49

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Solution

The fourth proportional to 30,712.79, 46,069.74 and 11,005.49 is: 16,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.79 : 46,069.74 = 11,005.49 : x
  2. Step 2: Convert to fraction form
    30,712.79/46,069.74 = 11,005.49/x
  3. Step 3: Cross multiply
    30,712.79x = 46,069.74 × 11,005.49
  4. Step 4: Simplify right side
    30,712.79x = 507,020,062.87
  5. Step 5: Solve for x
    x = 507,020,062.87/30,712.79
  6. Step 6: Final answer
    x = 16,508.43

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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.