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Finding the Fourth Proportional to 97,477.16, 146,220.96 and 30,922.32

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Solution

The fourth proportional to 97,477.16, 146,220.96 and 30,922.32 is: 46,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,477.16 : 146,220.96 = 30,922.32 : x
  2. Step 2: Convert to fraction form
    97,477.16/146,220.96 = 30,922.32/x
  3. Step 3: Cross multiply
    97,477.16x = 146,220.96 × 30,922.32
  4. Step 4: Simplify right side
    97,477.16x = 4,521,491,315.83
  5. Step 5: Solve for x
    x = 4,521,491,315.83/97,477.16
  6. Step 6: Final answer
    x = 46,385.14

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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.