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Finding the Fourth Proportional to 84,164, 116,148.75 and 46,440.68

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Solution

The fourth proportional to 84,164, 116,148.75 and 46,440.68 is: 64,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164 : 116,148.75 = 46,440.68 : x
  2. Step 2: Convert to fraction form
    84,164/116,148.75 = 46,440.68/x
  3. Step 3: Cross multiply
    84,164x = 116,148.75 × 46,440.68
  4. Step 4: Simplify right side
    84,164x = 5,394,026,931.15
  5. Step 5: Solve for x
    x = 5,394,026,931.15/84,164
  6. Step 6: Final answer
    x = 64,089.48

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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.