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Finding the Fourth Proportional to 37,666.40, 56,402.40 and 29,890.40

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Solution

The fourth proportional to 37,666.40, 56,402.40 and 29,890.40 is: 44,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.40 : 56,402.40 = 29,890.40 : x
  2. Step 2: Convert to fraction form
    37,666.40/56,402.40 = 29,890.40/x
  3. Step 3: Cross multiply
    37,666.40x = 56,402.40 × 29,890.40
  4. Step 4: Simplify right side
    37,666.40x = 1,685,890,296.96
  5. Step 5: Solve for x
    x = 1,685,890,296.96/37,666.40
  6. Step 6: Final answer
    x = 44,758.47

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1.5x scale

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.