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Finding the Fourth Proportional to 38,203.42, 52,719.88 and 21,206.67

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Solution

The fourth proportional to 38,203.42, 52,719.88 and 21,206.67 is: 29,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.42 : 52,719.88 = 21,206.67 : x
  2. Step 2: Convert to fraction form
    38,203.42/52,719.88 = 21,206.67/x
  3. Step 3: Cross multiply
    38,203.42x = 52,719.88 × 21,206.67
  4. Step 4: Simplify right side
    38,203.42x = 1,118,013,097.60
  5. Step 5: Solve for x
    x = 1,118,013,097.60/38,203.42
  6. Step 6: Final answer
    x = 29,264.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.