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Finding the Fourth Proportional to 82,130.63, 113,356.80 and 46,321.34

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Solution

The fourth proportional to 82,130.63, 113,356.80 and 46,321.34 is: 63,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.63 : 113,356.80 = 46,321.34 : x
  2. Step 2: Convert to fraction form
    82,130.63/113,356.80 = 46,321.34/x
  3. Step 3: Cross multiply
    82,130.63x = 113,356.80 × 46,321.34
  4. Step 4: Simplify right side
    82,130.63x = 5,250,838,307.33
  5. Step 5: Solve for x
    x = 5,250,838,307.33/82,130.63
  6. Step 6: Final answer
    x = 63,932.77

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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.