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Finding the Fourth Proportional to 46,985.52, 64,858.68 and 28,119

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Solution

The fourth proportional to 46,985.52, 64,858.68 and 28,119 is: 38,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985.52 : 64,858.68 = 28,119 : x
  2. Step 2: Convert to fraction form
    46,985.52/64,858.68 = 28,119/x
  3. Step 3: Cross multiply
    46,985.52x = 64,858.68 × 28,119
  4. Step 4: Simplify right side
    46,985.52x = 1,823,761,222.92
  5. Step 5: Solve for x
    x = 1,823,761,222.92/46,985.52
  6. Step 6: Final answer
    x = 38,815.39

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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.