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Finding the Fourth Proportional to 53,225.60, 79,838.40 and 13,782.40

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Solution

The fourth proportional to 53,225.60, 79,838.40 and 13,782.40 is: 20,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,225.60 : 79,838.40 = 13,782.40 : x
  2. Step 2: Convert to fraction form
    53,225.60/79,838.40 = 13,782.40/x
  3. Step 3: Cross multiply
    53,225.60x = 79,838.40 × 13,782.40
  4. Step 4: Simplify right side
    53,225.60x = 1,100,364,764.16
  5. Step 5: Solve for x
    x = 1,100,364,764.16/53,225.60
  6. Step 6: Final answer
    x = 20,673.60

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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.