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Finding the Fourth Proportional to 30,828.44, 42,547.30 and 22,893.32

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Solution

The fourth proportional to 30,828.44, 42,547.30 and 22,893.32 is: 31,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.44 : 42,547.30 = 22,893.32 : x
  2. Step 2: Convert to fraction form
    30,828.44/42,547.30 = 22,893.32/x
  3. Step 3: Cross multiply
    30,828.44x = 42,547.30 × 22,893.32
  4. Step 4: Simplify right side
    30,828.44x = 974,048,954.04
  5. Step 5: Solve for x
    x = 974,048,954.04/30,828.44
  6. Step 6: Final answer
    x = 31,595.79

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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.