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Finding the Fourth Proportional to 84,538.38, 116,666.48 and 46,812.63

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Solution

The fourth proportional to 84,538.38, 116,666.48 and 46,812.63 is: 64,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,538.38 : 116,666.48 = 46,812.63 : x
  2. Step 2: Convert to fraction form
    84,538.38/116,666.48 = 46,812.63/x
  3. Step 3: Cross multiply
    84,538.38x = 116,666.48 × 46,812.63
  4. Step 4: Simplify right side
    84,538.38x = 5,461,464,878.67
  5. Step 5: Solve for x
    x = 5,461,464,878.67/84,538.38
  6. Step 6: Final answer
    x = 64,603.38

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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.