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Finding the Fourth Proportional to 53,200.81, 73,417.63 and 29,328.34

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Solution

The fourth proportional to 53,200.81, 73,417.63 and 29,328.34 is: 40,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.81 : 73,417.63 = 29,328.34 : x
  2. Step 2: Convert to fraction form
    53,200.81/73,417.63 = 29,328.34/x
  3. Step 3: Cross multiply
    53,200.81x = 73,417.63 × 29,328.34
  4. Step 4: Simplify right side
    53,200.81x = 2,153,217,214.63
  5. Step 5: Solve for x
    x = 2,153,217,214.63/53,200.81
  6. Step 6: Final answer
    x = 40,473.39

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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.