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Finding the Fourth Proportional to 34,051.32, 46,990.80 and 19,904.16

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Solution

The fourth proportional to 34,051.32, 46,990.80 and 19,904.16 is: 27,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.32 : 46,990.80 = 19,904.16 : x
  2. Step 2: Convert to fraction form
    34,051.32/46,990.80 = 19,904.16/x
  3. Step 3: Cross multiply
    34,051.32x = 46,990.80 × 19,904.16
  4. Step 4: Simplify right side
    34,051.32x = 935,312,401.73
  5. Step 5: Solve for x
    x = 935,312,401.73/34,051.32
  6. Step 6: Final answer
    x = 27,467.73

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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.