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Finding the Fourth Proportional to 70,871.94, 97,769.16 and 44,046

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Solution

The fourth proportional to 70,871.94, 97,769.16 and 44,046 is: 60,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,871.94 : 97,769.16 = 44,046 : x
  2. Step 2: Convert to fraction form
    70,871.94/97,769.16 = 44,046/x
  3. Step 3: Cross multiply
    70,871.94x = 97,769.16 × 44,046
  4. Step 4: Simplify right side
    70,871.94x = 4,306,340,421.36
  5. Step 5: Solve for x
    x = 4,306,340,421.36/70,871.94
  6. Step 6: Final answer
    x = 60,762.28

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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.