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Finding the Fourth Proportional to 34,374.96, 47,434.50 and 19,062

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Solution

The fourth proportional to 34,374.96, 47,434.50 and 19,062 is: 26,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,374.96 : 47,434.50 = 19,062 : x
  2. Step 2: Convert to fraction form
    34,374.96/47,434.50 = 19,062/x
  3. Step 3: Cross multiply
    34,374.96x = 47,434.50 × 19,062
  4. Step 4: Simplify right side
    34,374.96x = 904,196,439
  5. Step 5: Solve for x
    x = 904,196,439/34,374.96
  6. Step 6: Final answer
    x = 26,303.93

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Why These Related Problems?

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