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Finding the Fourth Proportional to 38,407.04, 53,017 and 33,008.12

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Solution

The fourth proportional to 38,407.04, 53,017 and 33,008.12 is: 45,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.04 : 53,017 = 33,008.12 : x
  2. Step 2: Convert to fraction form
    38,407.04/53,017 = 33,008.12/x
  3. Step 3: Cross multiply
    38,407.04x = 53,017 × 33,008.12
  4. Step 4: Simplify right side
    38,407.04x = 1,749,991,498.04
  5. Step 5: Solve for x
    x = 1,749,991,498.04/38,407.04
  6. Step 6: Final answer
    x = 45,564.34

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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.