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Finding the Fourth Proportional to 84,651.42, 116,818.30 and 46,410.51

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Solution

The fourth proportional to 84,651.42, 116,818.30 and 46,410.51 is: 64,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.42 : 116,818.30 = 46,410.51 : x
  2. Step 2: Convert to fraction form
    84,651.42/116,818.30 = 46,410.51/x
  3. Step 3: Cross multiply
    84,651.42x = 116,818.30 × 46,410.51
  4. Step 4: Simplify right side
    84,651.42x = 5,421,596,880.33
  5. Step 5: Solve for x
    x = 5,421,596,880.33/84,651.42
  6. Step 6: Final answer
    x = 64,046.14

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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.