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Finding the Fourth Proportional to 30,763.60, 46,114.08 and 14,112.16

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Solution

The fourth proportional to 30,763.60, 46,114.08 and 14,112.16 is: 21,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.60 : 46,114.08 = 14,112.16 : x
  2. Step 2: Convert to fraction form
    30,763.60/46,114.08 = 14,112.16/x
  3. Step 3: Cross multiply
    30,763.60x = 46,114.08 × 14,112.16
  4. Step 4: Simplify right side
    30,763.60x = 650,769,275.21
  5. Step 5: Solve for x
    x = 650,769,275.21/30,763.60
  6. Step 6: Final answer
    x = 21,153.87

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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.