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Finding the Fourth Proportional to 30,907.95, 46,346.40 and 15,114.21

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Solution

The fourth proportional to 30,907.95, 46,346.40 and 15,114.21 is: 22,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.95 : 46,346.40 = 15,114.21 : x
  2. Step 2: Convert to fraction form
    30,907.95/46,346.40 = 15,114.21/x
  3. Step 3: Cross multiply
    30,907.95x = 46,346.40 × 15,114.21
  4. Step 4: Simplify right side
    30,907.95x = 700,489,222.34
  5. Step 5: Solve for x
    x = 700,489,222.34/30,907.95
  6. Step 6: Final answer
    x = 22,663.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.