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Finding the Fourth Proportional to 31,176, 46,763.73 and 7,802.55

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Solution

The fourth proportional to 31,176, 46,763.73 and 7,802.55 is: 11,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176 : 46,763.73 = 7,802.55 : x
  2. Step 2: Convert to fraction form
    31,176/46,763.73 = 7,802.55/x
  3. Step 3: Cross multiply
    31,176x = 46,763.73 × 7,802.55
  4. Step 4: Simplify right side
    31,176x = 364,876,341.51
  5. Step 5: Solve for x
    x = 364,876,341.51/31,176
  6. Step 6: Final answer
    x = 11,703.76

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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.