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Finding the Fourth Proportional to 82,632, 114,031.80 and 46,828.82

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Solution

The fourth proportional to 82,632, 114,031.80 and 46,828.82 is: 64,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,632 : 114,031.80 = 46,828.82 : x
  2. Step 2: Convert to fraction form
    82,632/114,031.80 = 46,828.82/x
  3. Step 3: Cross multiply
    82,632x = 114,031.80 × 46,828.82
  4. Step 4: Simplify right side
    82,632x = 5,339,974,636.48
  5. Step 5: Solve for x
    x = 5,339,974,636.48/82,632
  6. Step 6: Final answer
    x = 64,623.57

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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.