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Finding the Fourth Proportional to 30,907.84, 42,645.66 and 20,854.93

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Solution

The fourth proportional to 30,907.84, 42,645.66 and 20,854.93 is: 28,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.84 : 42,645.66 = 20,854.93 : x
  2. Step 2: Convert to fraction form
    30,907.84/42,645.66 = 20,854.93/x
  3. Step 3: Cross multiply
    30,907.84x = 42,645.66 × 20,854.93
  4. Step 4: Simplify right side
    30,907.84x = 889,372,254.10
  5. Step 5: Solve for x
    x = 889,372,254.10/30,907.84
  6. Step 6: Final answer
    x = 28,774.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.