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Finding the Fourth Proportional to 29,437.50, 44,145.45 and 9,710.22

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Solution

The fourth proportional to 29,437.50, 44,145.45 and 9,710.22 is: 14,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,437.50 : 44,145.45 = 9,710.22 : x
  2. Step 2: Convert to fraction form
    29,437.50/44,145.45 = 9,710.22/x
  3. Step 3: Cross multiply
    29,437.50x = 44,145.45 × 9,710.22
  4. Step 4: Simplify right side
    29,437.50x = 428,662,031.50
  5. Step 5: Solve for x
    x = 428,662,031.50/29,437.50
  6. Step 6: Final answer
    x = 14,561.77

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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.