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Finding the Fourth Proportional to 84,590, 116,739.10 and 46,349.62

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Solution

The fourth proportional to 84,590, 116,739.10 and 46,349.62 is: 63,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,590 : 116,739.10 = 46,349.62 : x
  2. Step 2: Convert to fraction form
    84,590/116,739.10 = 46,349.62/x
  3. Step 3: Cross multiply
    84,590x = 116,739.10 × 46,349.62
  4. Step 4: Simplify right side
    84,590x = 5,410,812,924.14
  5. Step 5: Solve for x
    x = 5,410,812,924.14/84,590
  6. Step 6: Final answer
    x = 63,965.16

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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.