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Finding the Fourth Proportional to 37,970.56, 52,400.16 and 21,203.56

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Solution

The fourth proportional to 37,970.56, 52,400.16 and 21,203.56 is: 29,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970.56 : 52,400.16 = 21,203.56 : x
  2. Step 2: Convert to fraction form
    37,970.56/52,400.16 = 21,203.56/x
  3. Step 3: Cross multiply
    37,970.56x = 52,400.16 × 21,203.56
  4. Step 4: Simplify right side
    37,970.56x = 1,111,069,936.57
  5. Step 5: Solve for x
    x = 1,111,069,936.57/37,970.56
  6. Step 6: Final answer
    x = 29,261.35

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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.