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Finding the Fourth Proportional to 97,670.80, 146,603.40 and 47,807.20

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Solution

The fourth proportional to 97,670.80, 146,603.40 and 47,807.20 is: 71,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,670.80 : 146,603.40 = 47,807.20 : x
  2. Step 2: Convert to fraction form
    97,670.80/146,603.40 = 47,807.20/x
  3. Step 3: Cross multiply
    97,670.80x = 146,603.40 × 47,807.20
  4. Step 4: Simplify right side
    97,670.80x = 7,008,698,064.48
  5. Step 5: Solve for x
    x = 7,008,698,064.48/97,670.80
  6. Step 6: Final answer
    x = 71,758.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.