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Finding the Fourth Proportional to 70,270.78, 97,013.76 and 46,466.50

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Solution

The fourth proportional to 70,270.78, 97,013.76 and 46,466.50 is: 64,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,270.78 : 97,013.76 = 46,466.50 : x
  2. Step 2: Convert to fraction form
    70,270.78/97,013.76 = 46,466.50/x
  3. Step 3: Cross multiply
    70,270.78x = 97,013.76 × 46,466.50
  4. Step 4: Simplify right side
    70,270.78x = 4,507,889,879.04
  5. Step 5: Solve for x
    x = 4,507,889,879.04/70,270.78
  6. Step 6: Final answer
    x = 64,150.28

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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.