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Finding the Fourth Proportional to 46,882.99, 70,320.84 and 20,587.96

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Solution

The fourth proportional to 46,882.99, 70,320.84 and 20,587.96 is: 30,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882.99 : 70,320.84 = 20,587.96 : x
  2. Step 2: Convert to fraction form
    46,882.99/70,320.84 = 20,587.96/x
  3. Step 3: Cross multiply
    46,882.99x = 70,320.84 × 20,587.96
  4. Step 4: Simplify right side
    46,882.99x = 1,447,762,641.09
  5. Step 5: Solve for x
    x = 1,447,762,641.09/46,882.99
  6. Step 6: Final answer
    x = 30,880.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.