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Finding the Fourth Proportional to 46,931.88, 64,766 and 28,069

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Solution

The fourth proportional to 46,931.88, 64,766 and 28,069 is: 38,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,931.88 : 64,766 = 28,069 : x
  2. Step 2: Convert to fraction form
    46,931.88/64,766 = 28,069/x
  3. Step 3: Cross multiply
    46,931.88x = 64,766 × 28,069
  4. Step 4: Simplify right side
    46,931.88x = 1,817,916,854
  5. Step 5: Solve for x
    x = 1,817,916,854/46,931.88
  6. Step 6: Final answer
    x = 38,735.22

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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.