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Finding the Fourth Proportional to 34,460.34, 47,567.25 and 20,312.25

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Solution

The fourth proportional to 34,460.34, 47,567.25 and 20,312.25 is: 28,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460.34 : 47,567.25 = 20,312.25 : x
  2. Step 2: Convert to fraction form
    34,460.34/47,567.25 = 20,312.25/x
  3. Step 3: Cross multiply
    34,460.34x = 47,567.25 × 20,312.25
  4. Step 4: Simplify right side
    34,460.34x = 966,197,873.81
  5. Step 5: Solve for x
    x = 966,197,873.81/34,460.34
  6. Step 6: Final answer
    x = 28,037.97

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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.