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Finding the Fourth Proportional to 84,582.72, 116,718.84 and 46,854

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Solution

The fourth proportional to 84,582.72, 116,718.84 and 46,854 is: 64,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,582.72 : 116,718.84 = 46,854 : x
  2. Step 2: Convert to fraction form
    84,582.72/116,718.84 = 46,854/x
  3. Step 3: Cross multiply
    84,582.72x = 116,718.84 × 46,854
  4. Step 4: Simplify right side
    84,582.72x = 5,468,744,529.36
  5. Step 5: Solve for x
    x = 5,468,744,529.36/84,582.72
  6. Step 6: Final answer
    x = 64,655.58

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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.