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Finding the Fourth Proportional to 82,278.46, 113,538 and 46,472.14

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Solution

The fourth proportional to 82,278.46, 113,538 and 46,472.14 is: 64,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,278.46 : 113,538 = 46,472.14 : x
  2. Step 2: Convert to fraction form
    82,278.46/113,538 = 46,472.14/x
  3. Step 3: Cross multiply
    82,278.46x = 113,538 × 46,472.14
  4. Step 4: Simplify right side
    82,278.46x = 5,276,353,831.32
  5. Step 5: Solve for x
    x = 5,276,353,831.32/82,278.46
  6. Step 6: Final answer
    x = 64,128.01

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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.