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Finding the Fourth Proportional to 38,641.56, 57,962.64 and 13,681.71

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Solution

The fourth proportional to 38,641.56, 57,962.64 and 13,681.71 is: 20,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,641.56 : 57,962.64 = 13,681.71 : x
  2. Step 2: Convert to fraction form
    38,641.56/57,962.64 = 13,681.71/x
  3. Step 3: Cross multiply
    38,641.56x = 57,962.64 × 13,681.71
  4. Step 4: Simplify right side
    38,641.56x = 793,028,031.31
  5. Step 5: Solve for x
    x = 793,028,031.31/38,641.56
  6. Step 6: Final answer
    x = 20,522.67

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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.