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Finding the Fourth Proportional to 70,488.16, 97,271.44 and 38,656.48

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Solution

The fourth proportional to 70,488.16, 97,271.44 and 38,656.48 is: 53,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488.16 : 97,271.44 = 38,656.48 : x
  2. Step 2: Convert to fraction form
    70,488.16/97,271.44 = 38,656.48/x
  3. Step 3: Cross multiply
    70,488.16x = 97,271.44 × 38,656.48
  4. Step 4: Simplify right side
    70,488.16x = 3,760,171,474.93
  5. Step 5: Solve for x
    x = 3,760,171,474.93/70,488.16
  6. Step 6: Final answer
    x = 53,344.72

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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.