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Finding the Fourth Proportional to 34,023, 46,951.98 and 19,119

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Solution

The fourth proportional to 34,023, 46,951.98 and 19,119 is: 26,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,023 : 46,951.98 = 19,119 : x
  2. Step 2: Convert to fraction form
    34,023/46,951.98 = 19,119/x
  3. Step 3: Cross multiply
    34,023x = 46,951.98 × 19,119
  4. Step 4: Simplify right side
    34,023x = 897,674,905.62
  5. Step 5: Solve for x
    x = 897,674,905.62/34,023
  6. Step 6: Final answer
    x = 26,384.35

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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.