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Finding the Fourth Proportional to 86,415, 119,252.70 and 46,671

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Solution

The fourth proportional to 86,415, 119,252.70 and 46,671 is: 64,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,415 : 119,252.70 = 46,671 : x
  2. Step 2: Convert to fraction form
    86,415/119,252.70 = 46,671/x
  3. Step 3: Cross multiply
    86,415x = 119,252.70 × 46,671
  4. Step 4: Simplify right side
    86,415x = 5,565,642,761.70
  5. Step 5: Solve for x
    x = 5,565,642,761.70/86,415
  6. Step 6: Final answer
    x = 64,405.98

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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.