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Finding the Fourth Proportional to 97,309.80, 145,964.67 and 23,437.80

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Solution

The fourth proportional to 97,309.80, 145,964.67 and 23,437.80 is: 35,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,309.80 : 145,964.67 = 23,437.80 : x
  2. Step 2: Convert to fraction form
    97,309.80/145,964.67 = 23,437.80/x
  3. Step 3: Cross multiply
    97,309.80x = 145,964.67 × 23,437.80
  4. Step 4: Simplify right side
    97,309.80x = 3,421,090,742.53
  5. Step 5: Solve for x
    x = 3,421,090,742.53/97,309.80
  6. Step 6: Final answer
    x = 35,156.69

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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.