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Finding the Fourth Proportional to 37,056.64, 51,143.12 and 21,948.12

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Solution

The fourth proportional to 37,056.64, 51,143.12 and 21,948.12 is: 30,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056.64 : 51,143.12 = 21,948.12 : x
  2. Step 2: Convert to fraction form
    37,056.64/51,143.12 = 21,948.12/x
  3. Step 3: Cross multiply
    37,056.64x = 51,143.12 × 21,948.12
  4. Step 4: Simplify right side
    37,056.64x = 1,122,495,334.93
  5. Step 5: Solve for x
    x = 1,122,495,334.93/37,056.64
  6. Step 6: Final answer
    x = 30,291.34

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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.