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Finding the Fourth Proportional to 35,827.26, 53,762.49 and 12,470.10

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Solution

The fourth proportional to 35,827.26, 53,762.49 and 12,470.10 is: 18,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,827.26 : 53,762.49 = 12,470.10 : x
  2. Step 2: Convert to fraction form
    35,827.26/53,762.49 = 12,470.10/x
  3. Step 3: Cross multiply
    35,827.26x = 53,762.49 × 12,470.10
  4. Step 4: Simplify right side
    35,827.26x = 670,423,626.55
  5. Step 5: Solve for x
    x = 670,423,626.55/35,827.26
  6. Step 6: Final answer
    x = 18,712.67

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