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Finding the Fourth Proportional to 30,792.93, 42,494.22 and 16,645.77

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Solution

The fourth proportional to 30,792.93, 42,494.22 and 16,645.77 is: 22,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.93 : 42,494.22 = 16,645.77 : x
  2. Step 2: Convert to fraction form
    30,792.93/42,494.22 = 16,645.77/x
  3. Step 3: Cross multiply
    30,792.93x = 42,494.22 × 16,645.77
  4. Step 4: Simplify right side
    30,792.93x = 707,349,012.45
  5. Step 5: Solve for x
    x = 707,349,012.45/30,792.93
  6. Step 6: Final answer
    x = 22,971.15

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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.