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Finding the Fourth Proportional to 37,477.80, 51,713.10 and 22,376.52

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Solution

The fourth proportional to 37,477.80, 51,713.10 and 22,376.52 is: 30,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.80 : 51,713.10 = 22,376.52 : x
  2. Step 2: Convert to fraction form
    37,477.80/51,713.10 = 22,376.52/x
  3. Step 3: Cross multiply
    37,477.80x = 51,713.10 × 22,376.52
  4. Step 4: Simplify right side
    37,477.80x = 1,157,159,216.41
  5. Step 5: Solve for x
    x = 1,157,159,216.41/37,477.80
  6. Step 6: Final answer
    x = 30,875.86

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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.