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Finding the Fourth Proportional to 30,893.52, 42,633.06 and 16,746.32

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Solution

The fourth proportional to 30,893.52, 42,633.06 and 16,746.32 is: 23,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.52 : 42,633.06 = 16,746.32 : x
  2. Step 2: Convert to fraction form
    30,893.52/42,633.06 = 16,746.32/x
  3. Step 3: Cross multiply
    30,893.52x = 42,633.06 × 16,746.32
  4. Step 4: Simplify right side
    30,893.52x = 713,946,865.34
  5. Step 5: Solve for x
    x = 713,946,865.34/30,893.52
  6. Step 6: Final answer
    x = 23,109.92

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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.