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Finding the Fourth Proportional to 38,271.72, 52,840.75 and 34,226

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Solution

The fourth proportional to 38,271.72, 52,840.75 and 34,226 is: 47,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,271.72 : 52,840.75 = 34,226 : x
  2. Step 2: Convert to fraction form
    38,271.72/52,840.75 = 34,226/x
  3. Step 3: Cross multiply
    38,271.72x = 52,840.75 × 34,226
  4. Step 4: Simplify right side
    38,271.72x = 1,808,527,509.50
  5. Step 5: Solve for x
    x = 1,808,527,509.50/38,271.72
  6. Step 6: Final answer
    x = 47,254.93

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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.