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Finding the Fourth Proportional to 82,572.55, 113,946.31 and 46,762.82

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Solution

The fourth proportional to 82,572.55, 113,946.31 and 46,762.82 is: 64,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.55 : 113,946.31 = 46,762.82 : x
  2. Step 2: Convert to fraction form
    82,572.55/113,946.31 = 46,762.82/x
  3. Step 3: Cross multiply
    82,572.55x = 113,946.31 × 46,762.82
  4. Step 4: Simplify right side
    82,572.55x = 5,328,450,738.50
  5. Step 5: Solve for x
    x = 5,328,450,738.50/82,572.55
  6. Step 6: Final answer
    x = 64,530.53

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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.