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Finding the Fourth Proportional to 47,275.68, 65,327.40 and 34,507.20

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Solution

The fourth proportional to 47,275.68, 65,327.40 and 34,507.20 is: 47,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275.68 : 65,327.40 = 34,507.20 : x
  2. Step 2: Convert to fraction form
    47,275.68/65,327.40 = 34,507.20/x
  3. Step 3: Cross multiply
    47,275.68x = 65,327.40 × 34,507.20
  4. Step 4: Simplify right side
    47,275.68x = 2,254,265,657.28
  5. Step 5: Solve for x
    x = 2,254,265,657.28/47,275.68
  6. Step 6: Final answer
    x = 47,683.41

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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.