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Finding the Fourth Proportional to 30,643.60, 45,965.40 and 21,312.40

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Solution

The fourth proportional to 30,643.60, 45,965.40 and 21,312.40 is: 31,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.60 : 45,965.40 = 21,312.40 : x
  2. Step 2: Convert to fraction form
    30,643.60/45,965.40 = 21,312.40/x
  3. Step 3: Cross multiply
    30,643.60x = 45,965.40 × 21,312.40
  4. Step 4: Simplify right side
    30,643.60x = 979,632,990.96
  5. Step 5: Solve for x
    x = 979,632,990.96/30,643.60
  6. Step 6: Final answer
    x = 31,968.60

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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.