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Finding the Fourth Proportional to 46,596, 64,303.92 and 26,724

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Solution

The fourth proportional to 46,596, 64,303.92 and 26,724 is: 36,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596 : 64,303.92 = 26,724 : x
  2. Step 2: Convert to fraction form
    46,596/64,303.92 = 26,724/x
  3. Step 3: Cross multiply
    46,596x = 64,303.92 × 26,724
  4. Step 4: Simplify right side
    46,596x = 1,718,457,958.08
  5. Step 5: Solve for x
    x = 1,718,457,958.08/46,596
  6. Step 6: Final answer
    x = 36,879.95

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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.