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Finding the Fourth Proportional to 53,252.52, 73,495.76 and 34,386

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Solution

The fourth proportional to 53,252.52, 73,495.76 and 34,386 is: 47,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,252.52 : 73,495.76 = 34,386 : x
  2. Step 2: Convert to fraction form
    53,252.52/73,495.76 = 34,386/x
  3. Step 3: Cross multiply
    53,252.52x = 73,495.76 × 34,386
  4. Step 4: Simplify right side
    53,252.52x = 2,527,225,203.36
  5. Step 5: Solve for x
    x = 2,527,225,203.36/53,252.52
  6. Step 6: Final answer
    x = 47,457.38

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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.