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Finding the Fourth Proportional to 46,419.56, 64,062.16 and 26,276.38

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Solution

The fourth proportional to 46,419.56, 64,062.16 and 26,276.38 is: 36,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419.56 : 64,062.16 = 26,276.38 : x
  2. Step 2: Convert to fraction form
    46,419.56/64,062.16 = 26,276.38/x
  3. Step 3: Cross multiply
    46,419.56x = 64,062.16 × 26,276.38
  4. Step 4: Simplify right side
    46,419.56x = 1,683,321,659.78
  5. Step 5: Solve for x
    x = 1,683,321,659.78/46,419.56
  6. Step 6: Final answer
    x = 36,263.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.