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Finding the Fourth Proportional to 53,502.88, 73,809.48 and 34,646.08

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Solution

The fourth proportional to 53,502.88, 73,809.48 and 34,646.08 is: 47,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,502.88 : 73,809.48 = 34,646.08 : x
  2. Step 2: Convert to fraction form
    53,502.88/73,809.48 = 34,646.08/x
  3. Step 3: Cross multiply
    53,502.88x = 73,809.48 × 34,646.08
  4. Step 4: Simplify right side
    53,502.88x = 2,557,209,148.84
  5. Step 5: Solve for x
    x = 2,557,209,148.84/53,502.88
  6. Step 6: Final answer
    x = 47,795.73

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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.