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Finding the Fourth Proportional to 30,973.54, 42,750.29 and 20,364.16

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Solution

The fourth proportional to 30,973.54, 42,750.29 and 20,364.16 is: 28,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.54 : 42,750.29 = 20,364.16 : x
  2. Step 2: Convert to fraction form
    30,973.54/42,750.29 = 20,364.16/x
  3. Step 3: Cross multiply
    30,973.54x = 42,750.29 × 20,364.16
  4. Step 4: Simplify right side
    30,973.54x = 870,573,745.61
  5. Step 5: Solve for x
    x = 870,573,745.61/30,973.54
  6. Step 6: Final answer
    x = 28,107.01

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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.