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Finding the Fourth Proportional to 70,159.06, 105,239.49 and 23,411.94

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Solution

The fourth proportional to 70,159.06, 105,239.49 and 23,411.94 is: 35,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,159.06 : 105,239.49 = 23,411.94 : x
  2. Step 2: Convert to fraction form
    70,159.06/105,239.49 = 23,411.94/x
  3. Step 3: Cross multiply
    70,159.06x = 105,239.49 × 23,411.94
  4. Step 4: Simplify right side
    70,159.06x = 2,463,860,625.51
  5. Step 5: Solve for x
    x = 2,463,860,625.51/70,159.06
  6. Step 6: Final answer
    x = 35,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.