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Finding the Fourth Proportional to 70,159.19, 105,239.68 and 23,412.06

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Solution

The fourth proportional to 70,159.19, 105,239.68 and 23,412.06 is: 35,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,159.19 : 105,239.68 = 23,412.06 : x
  2. Step 2: Convert to fraction form
    70,159.19/105,239.68 = 23,412.06/x
  3. Step 3: Cross multiply
    70,159.19x = 105,239.68 × 23,412.06
  4. Step 4: Simplify right side
    70,159.19x = 2,463,877,644.01
  5. Step 5: Solve for x
    x = 2,463,877,644.01/70,159.19
  6. Step 6: Final answer
    x = 35,118.39

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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.