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Finding the Fourth Proportional to 70,271.76, 97,015.16 and 46,467.48

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Solution

The fourth proportional to 70,271.76, 97,015.16 and 46,467.48 is: 64,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,271.76 : 97,015.16 = 46,467.48 : x
  2. Step 2: Convert to fraction form
    70,271.76/97,015.16 = 46,467.48/x
  3. Step 3: Cross multiply
    70,271.76x = 97,015.16 × 46,467.48
  4. Step 4: Simplify right side
    70,271.76x = 4,508,050,007.00
  5. Step 5: Solve for x
    x = 4,508,050,007.00/70,271.76
  6. Step 6: Final answer
    x = 64,151.66

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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.