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Finding the Fourth Proportional to 46,656.53, 64,390.63 and 27,542.61

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Solution

The fourth proportional to 46,656.53, 64,390.63 and 27,542.61 is: 38,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.53 : 64,390.63 = 27,542.61 : x
  2. Step 2: Convert to fraction form
    46,656.53/64,390.63 = 27,542.61/x
  3. Step 3: Cross multiply
    46,656.53x = 64,390.63 × 27,542.61
  4. Step 4: Simplify right side
    46,656.53x = 1,773,485,927.63
  5. Step 5: Solve for x
    x = 1,773,485,927.63/46,656.53
  6. Step 6: Final answer
    x = 38,011.53

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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.