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Finding the Fourth Proportional to 38,655.64, 53,347.86 and 22,743.16

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Solution

The fourth proportional to 38,655.64, 53,347.86 and 22,743.16 is: 31,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,655.64 : 53,347.86 = 22,743.16 : x
  2. Step 2: Convert to fraction form
    38,655.64/53,347.86 = 22,743.16/x
  3. Step 3: Cross multiply
    38,655.64x = 53,347.86 × 22,743.16
  4. Step 4: Simplify right side
    38,655.64x = 1,213,299,018.38
  5. Step 5: Solve for x
    x = 1,213,299,018.38/38,655.64
  6. Step 6: Final answer
    x = 31,387.37

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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.