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Finding the Fourth Proportional to 82,536.70, 113,903.38 and 46,725.98

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Solution

The fourth proportional to 82,536.70, 113,903.38 and 46,725.98 is: 64,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,536.70 : 113,903.38 = 46,725.98 : x
  2. Step 2: Convert to fraction form
    82,536.70/113,903.38 = 46,725.98/x
  3. Step 3: Cross multiply
    82,536.70x = 113,903.38 × 46,725.98
  4. Step 4: Simplify right side
    82,536.70x = 5,322,247,055.81
  5. Step 5: Solve for x
    x = 5,322,247,055.81/82,536.70
  6. Step 6: Final answer
    x = 64,483.40

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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.