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Finding the Fourth Proportional to 35,428, 48,895.50 and 22,850.32

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Solution

The fourth proportional to 35,428, 48,895.50 and 22,850.32 is: 31,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,428 : 48,895.50 = 22,850.32 : x
  2. Step 2: Convert to fraction form
    35,428/48,895.50 = 22,850.32/x
  3. Step 3: Cross multiply
    35,428x = 48,895.50 × 22,850.32
  4. Step 4: Simplify right side
    35,428x = 1,117,277,821.56
  5. Step 5: Solve for x
    x = 1,117,277,821.56/35,428
  6. Step 6: Final answer
    x = 31,536.58

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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.