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Finding the Fourth Proportional to 82,767.34, 114,211.02 and 46,460.47

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Solution

The fourth proportional to 82,767.34, 114,211.02 and 46,460.47 is: 64,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.34 : 114,211.02 = 46,460.47 : x
  2. Step 2: Convert to fraction form
    82,767.34/114,211.02 = 46,460.47/x
  3. Step 3: Cross multiply
    82,767.34x = 114,211.02 × 46,460.47
  4. Step 4: Simplify right side
    82,767.34x = 5,306,297,668.38
  5. Step 5: Solve for x
    x = 5,306,297,668.38/82,767.34
  6. Step 6: Final answer
    x = 64,111.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.