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Finding the Fourth Proportional to 46,117.76, 63,630.77 and 28,206.23

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Solution

The fourth proportional to 46,117.76, 63,630.77 and 28,206.23 is: 38,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,117.76 : 63,630.77 = 28,206.23 : x
  2. Step 2: Convert to fraction form
    46,117.76/63,630.77 = 28,206.23/x
  3. Step 3: Cross multiply
    46,117.76x = 63,630.77 × 28,206.23
  4. Step 4: Simplify right side
    46,117.76x = 1,794,783,674.51
  5. Step 5: Solve for x
    x = 1,794,783,674.51/46,117.76
  6. Step 6: Final answer
    x = 38,917.41

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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.