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Finding the Fourth Proportional to 34,386.66, 47,429.01 and 31,563

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Solution

The fourth proportional to 34,386.66, 47,429.01 and 31,563 is: 43,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,386.66 : 47,429.01 = 31,563 : x
  2. Step 2: Convert to fraction form
    34,386.66/47,429.01 = 31,563/x
  3. Step 3: Cross multiply
    34,386.66x = 47,429.01 × 31,563
  4. Step 4: Simplify right side
    34,386.66x = 1,497,001,842.63
  5. Step 5: Solve for x
    x = 1,497,001,842.63/34,386.66
  6. Step 6: Final answer
    x = 43,534.38

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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.