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Finding the Fourth Proportional to 38,741.50, 53,455.02 and 22,820.14

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Solution

The fourth proportional to 38,741.50, 53,455.02 and 22,820.14 is: 31,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741.50 : 53,455.02 = 22,820.14 : x
  2. Step 2: Convert to fraction form
    38,741.50/53,455.02 = 22,820.14/x
  3. Step 3: Cross multiply
    38,741.50x = 53,455.02 × 22,820.14
  4. Step 4: Simplify right side
    38,741.50x = 1,219,851,040.10
  5. Step 5: Solve for x
    x = 1,219,851,040.10/38,741.50
  6. Step 6: Final answer
    x = 31,486.93

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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.