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Finding the Fourth Proportional to 30,740.60, 46,071.72 and 14,949.20

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Solution

The fourth proportional to 30,740.60, 46,071.72 and 14,949.20 is: 22,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.60 : 46,071.72 = 14,949.20 : x
  2. Step 2: Convert to fraction form
    30,740.60/46,071.72 = 14,949.20/x
  3. Step 3: Cross multiply
    30,740.60x = 46,071.72 × 14,949.20
  4. Step 4: Simplify right side
    30,740.60x = 688,735,356.62
  5. Step 5: Solve for x
    x = 688,735,356.62/30,740.60
  6. Step 6: Final answer
    x = 22,404.75

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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.