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Finding the Fourth Proportional to 34,700.84, 47,854.38 and 22,774.52

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Solution

The fourth proportional to 34,700.84, 47,854.38 and 22,774.52 is: 31,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.84 : 47,854.38 = 22,774.52 : x
  2. Step 2: Convert to fraction form
    34,700.84/47,854.38 = 22,774.52/x
  3. Step 3: Cross multiply
    34,700.84x = 47,854.38 × 22,774.52
  4. Step 4: Simplify right side
    34,700.84x = 1,089,860,534.40
  5. Step 5: Solve for x
    x = 1,089,860,534.40/34,700.84
  6. Step 6: Final answer
    x = 31,407.32

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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.