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Finding the Fourth Proportional to 97,907.52, 146,857.50 and 31,345.77

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Solution

The fourth proportional to 97,907.52, 146,857.50 and 31,345.77 is: 47,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,907.52 : 146,857.50 = 31,345.77 : x
  2. Step 2: Convert to fraction form
    97,907.52/146,857.50 = 31,345.77/x
  3. Step 3: Cross multiply
    97,907.52x = 146,857.50 × 31,345.77
  4. Step 4: Simplify right side
    97,907.52x = 4,603,361,417.78
  5. Step 5: Solve for x
    x = 4,603,361,417.78/97,907.52
  6. Step 6: Final answer
    x = 47,017.44

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1.5x scale

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.