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Finding the Fourth Proportional to 30,222, 41,707.44 and 17,646.48

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Solution

The fourth proportional to 30,222, 41,707.44 and 17,646.48 is: 24,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222 : 41,707.44 = 17,646.48 : x
  2. Step 2: Convert to fraction form
    30,222/41,707.44 = 17,646.48/x
  3. Step 3: Cross multiply
    30,222x = 41,707.44 × 17,646.48
  4. Step 4: Simplify right side
    30,222x = 735,989,505.81
  5. Step 5: Solve for x
    x = 735,989,505.81/30,222
  6. Step 6: Final answer
    x = 24,352.77

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1.5x scale

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.