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Finding the Fourth Proportional to 30,594.42, 42,230.84 and 19,283.00

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Solution

The fourth proportional to 30,594.42, 42,230.84 and 19,283.00 is: 26,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.42 : 42,230.84 = 19,283.00 : x
  2. Step 2: Convert to fraction form
    30,594.42/42,230.84 = 19,283.00/x
  3. Step 3: Cross multiply
    30,594.42x = 42,230.84 × 19,283.00
  4. Step 4: Simplify right side
    30,594.42x = 814,336,980.15
  5. Step 5: Solve for x
    x = 814,336,980.15/30,594.42
  6. Step 6: Final answer
    x = 26,617.17

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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.