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Finding the Fourth Proportional to 76,261, 105,240.18 and 46,453

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Solution

The fourth proportional to 76,261, 105,240.18 and 46,453 is: 64,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,261 : 105,240.18 = 46,453 : x
  2. Step 2: Convert to fraction form
    76,261/105,240.18 = 46,453/x
  3. Step 3: Cross multiply
    76,261x = 105,240.18 × 46,453
  4. Step 4: Simplify right side
    76,261x = 4,888,722,081.54
  5. Step 5: Solve for x
    x = 4,888,722,081.54/76,261
  6. Step 6: Final answer
    x = 64,105.14

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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.