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Finding the Fourth Proportional to 38,894.57, 53,675.19 and 22,978.98

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Solution

The fourth proportional to 38,894.57, 53,675.19 and 22,978.98 is: 31,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894.57 : 53,675.19 = 22,978.98 : x
  2. Step 2: Convert to fraction form
    38,894.57/53,675.19 = 22,978.98/x
  3. Step 3: Cross multiply
    38,894.57x = 53,675.19 × 22,978.98
  4. Step 4: Simplify right side
    38,894.57x = 1,233,401,117.51
  5. Step 5: Solve for x
    x = 1,233,401,117.51/38,894.57
  6. Step 6: Final answer
    x = 31,711.40

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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.