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Finding the Fourth Proportional to 34,046, 46,983.48 and 19,142

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Solution

The fourth proportional to 34,046, 46,983.48 and 19,142 is: 26,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046 : 46,983.48 = 19,142 : x
  2. Step 2: Convert to fraction form
    34,046/46,983.48 = 19,142/x
  3. Step 3: Cross multiply
    34,046x = 46,983.48 × 19,142
  4. Step 4: Simplify right side
    34,046x = 899,357,774.16
  5. Step 5: Solve for x
    x = 899,357,774.16/34,046
  6. Step 6: Final answer
    x = 26,415.96

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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.