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Finding the Fourth Proportional to 30,175.21, 41,643.21 and 16,746.58

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Solution

The fourth proportional to 30,175.21, 41,643.21 and 16,746.58 is: 23,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.21 : 41,643.21 = 16,746.58 : x
  2. Step 2: Convert to fraction form
    30,175.21/41,643.21 = 16,746.58/x
  3. Step 3: Cross multiply
    30,175.21x = 41,643.21 × 16,746.58
  4. Step 4: Simplify right side
    30,175.21x = 697,381,055.77
  5. Step 5: Solve for x
    x = 697,381,055.77/30,175.21
  6. Step 6: Final answer
    x = 23,111.06

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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.