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Finding the Fourth Proportional to 46,476, 64,145.52 and 26,604

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Solution

The fourth proportional to 46,476, 64,145.52 and 26,604 is: 36,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476 : 64,145.52 = 26,604 : x
  2. Step 2: Convert to fraction form
    46,476/64,145.52 = 26,604/x
  3. Step 3: Cross multiply
    46,476x = 64,145.52 × 26,604
  4. Step 4: Simplify right side
    46,476x = 1,706,527,414.08
  5. Step 5: Solve for x
    x = 1,706,527,414.08/46,476
  6. Step 6: Final answer
    x = 36,718.47

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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.