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Finding the Fourth Proportional to 86,482, 119,345.16 and 46,738

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Solution

The fourth proportional to 86,482, 119,345.16 and 46,738 is: 64,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,482 : 119,345.16 = 46,738 : x
  2. Step 2: Convert to fraction form
    86,482/119,345.16 = 46,738/x
  3. Step 3: Cross multiply
    86,482x = 119,345.16 × 46,738
  4. Step 4: Simplify right side
    86,482x = 5,577,954,088.08
  5. Step 5: Solve for x
    x = 5,577,954,088.08/86,482
  6. Step 6: Final answer
    x = 64,498.44

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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.