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Finding the Fourth Proportional to 70,638.37, 97,407.63 and 49,152.46

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Solution

The fourth proportional to 70,638.37, 97,407.63 and 49,152.46 is: 67,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,638.37 : 97,407.63 = 49,152.46 : x
  2. Step 2: Convert to fraction form
    70,638.37/97,407.63 = 49,152.46/x
  3. Step 3: Cross multiply
    70,638.37x = 97,407.63 × 49,152.46
  4. Step 4: Simplify right side
    70,638.37x = 4,787,824,637.27
  5. Step 5: Solve for x
    x = 4,787,824,637.27/70,638.37
  6. Step 6: Final answer
    x = 67,779.38

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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.