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Finding the Fourth Proportional to 82,085.42, 113,263.34 and 46,275.42

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Solution

The fourth proportional to 82,085.42, 113,263.34 and 46,275.42 is: 63,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,085.42 : 113,263.34 = 46,275.42 : x
  2. Step 2: Convert to fraction form
    82,085.42/113,263.34 = 46,275.42/x
  3. Step 3: Cross multiply
    82,085.42x = 113,263.34 × 46,275.42
  4. Step 4: Simplify right side
    82,085.42x = 5,241,308,629.10
  5. Step 5: Solve for x
    x = 5,241,308,629.10/82,085.42
  6. Step 6: Final answer
    x = 63,851.88

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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.