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Finding the Fourth Proportional to 47,079.68, 70,627.20 and 14,240

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Solution

The fourth proportional to 47,079.68, 70,627.20 and 14,240 is: 21,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,079.68 : 70,627.20 = 14,240 : x
  2. Step 2: Convert to fraction form
    47,079.68/70,627.20 = 14,240/x
  3. Step 3: Cross multiply
    47,079.68x = 70,627.20 × 14,240
  4. Step 4: Simplify right side
    47,079.68x = 1,005,731,328
  5. Step 5: Solve for x
    x = 1,005,731,328/47,079.68
  6. Step 6: Final answer
    x = 21,362.32

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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.