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Finding the Fourth Proportional to 46,957.59, 64,791.89 and 27,828.93

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Solution

The fourth proportional to 46,957.59, 64,791.89 and 27,828.93 is: 38,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.59 : 64,791.89 = 27,828.93 : x
  2. Step 2: Convert to fraction form
    46,957.59/64,791.89 = 27,828.93/x
  3. Step 3: Cross multiply
    46,957.59x = 64,791.89 × 27,828.93
  4. Step 4: Simplify right side
    46,957.59x = 1,803,088,832.23
  5. Step 5: Solve for x
    x = 1,803,088,832.23/46,957.59
  6. Step 6: Final answer
    x = 38,398.24

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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.