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Finding the Fourth Proportional to 84,262.94, 116,282.14 and 46,536.38

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Solution

The fourth proportional to 84,262.94, 116,282.14 and 46,536.38 is: 64,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,262.94 : 116,282.14 = 46,536.38 : x
  2. Step 2: Convert to fraction form
    84,262.94/116,282.14 = 46,536.38/x
  3. Step 3: Cross multiply
    84,262.94x = 116,282.14 × 46,536.38
  4. Step 4: Simplify right side
    84,262.94x = 5,411,349,156.50
  5. Step 5: Solve for x
    x = 5,411,349,156.50/84,262.94
  6. Step 6: Final answer
    x = 64,219.80

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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.