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Finding the Fourth Proportional to 82,369.98, 113,668.92 and 46,559.07

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Solution

The fourth proportional to 82,369.98, 113,668.92 and 46,559.07 is: 64,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,369.98 : 113,668.92 = 46,559.07 : x
  2. Step 2: Convert to fraction form
    82,369.98/113,668.92 = 46,559.07/x
  3. Step 3: Cross multiply
    82,369.98x = 113,668.92 × 46,559.07
  4. Step 4: Simplify right side
    82,369.98x = 5,292,319,203.10
  5. Step 5: Solve for x
    x = 5,292,319,203.10/82,369.98
  6. Step 6: Final answer
    x = 64,250.58

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1.5x scale

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.