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Finding the Fourth Proportional to 70,324.94, 97,048.54 and 38,495.86

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Solution

The fourth proportional to 70,324.94, 97,048.54 and 38,495.86 is: 53,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,324.94 : 97,048.54 = 38,495.86 : x
  2. Step 2: Convert to fraction form
    70,324.94/97,048.54 = 38,495.86/x
  3. Step 3: Cross multiply
    70,324.94x = 97,048.54 × 38,495.86
  4. Step 4: Simplify right side
    70,324.94x = 3,735,967,009.04
  5. Step 5: Solve for x
    x = 3,735,967,009.04/70,324.94
  6. Step 6: Final answer
    x = 53,124.35

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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.