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Finding the Fourth Proportional to 38,762.50, 53,483.88 and 22,841.14

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Solution

The fourth proportional to 38,762.50, 53,483.88 and 22,841.14 is: 31,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,762.50 : 53,483.88 = 22,841.14 : x
  2. Step 2: Convert to fraction form
    38,762.50/53,483.88 = 22,841.14/x
  3. Step 3: Cross multiply
    38,762.50x = 53,483.88 × 22,841.14
  4. Step 4: Simplify right side
    38,762.50x = 1,221,632,790.82
  5. Step 5: Solve for x
    x = 1,221,632,790.82/38,762.50
  6. Step 6: Final answer
    x = 31,515.84

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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.