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Finding the Fourth Proportional to 53,477.79, 73,849.36 and 34,390.71

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Solution

The fourth proportional to 53,477.79, 73,849.36 and 34,390.71 is: 47,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,477.79 : 73,849.36 = 34,390.71 : x
  2. Step 2: Convert to fraction form
    53,477.79/73,849.36 = 34,390.71/x
  3. Step 3: Cross multiply
    53,477.79x = 73,849.36 × 34,390.71
  4. Step 4: Simplify right side
    53,477.79x = 2,539,731,837.47
  5. Step 5: Solve for x
    x = 2,539,731,837.47/53,477.79
  6. Step 6: Final answer
    x = 47,491.34

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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.