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Finding the Fourth Proportional to 30,280.40, 45,447.60 and 17,784.80

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Solution

The fourth proportional to 30,280.40, 45,447.60 and 17,784.80 is: 26,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.40 : 45,447.60 = 17,784.80 : x
  2. Step 2: Convert to fraction form
    30,280.40/45,447.60 = 17,784.80/x
  3. Step 3: Cross multiply
    30,280.40x = 45,447.60 × 17,784.80
  4. Step 4: Simplify right side
    30,280.40x = 808,276,476.48
  5. Step 5: Solve for x
    x = 808,276,476.48/30,280.40
  6. Step 6: Final answer
    x = 26,693.06

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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.