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Finding the Fourth Proportional to 82,319, 113,602.48 and 46,508.26

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Solution

The fourth proportional to 82,319, 113,602.48 and 46,508.26 is: 64,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,319 : 113,602.48 = 46,508.26 : x
  2. Step 2: Convert to fraction form
    82,319/113,602.48 = 46,508.26/x
  3. Step 3: Cross multiply
    82,319x = 113,602.48 × 46,508.26
  4. Step 4: Simplify right side
    82,319x = 5,283,453,676.48
  5. Step 5: Solve for x
    x = 5,283,453,676.48/82,319
  6. Step 6: Final answer
    x = 64,182.68

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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.