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Finding the Fourth Proportional to 38,615.02, 53,288.22 and 21,848.02

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Solution

The fourth proportional to 38,615.02, 53,288.22 and 21,848.02 is: 30,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,615.02 : 53,288.22 = 21,848.02 : x
  2. Step 2: Convert to fraction form
    38,615.02/53,288.22 = 21,848.02/x
  3. Step 3: Cross multiply
    38,615.02x = 53,288.22 × 21,848.02
  4. Step 4: Simplify right side
    38,615.02x = 1,164,242,096.32
  5. Step 5: Solve for x
    x = 1,164,242,096.32/38,615.02
  6. Step 6: Final answer
    x = 30,149.98

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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.