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Finding the Fourth Proportional to 53,409.60, 80,114.40 and 16,468.80

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Solution

The fourth proportional to 53,409.60, 80,114.40 and 16,468.80 is: 24,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409.60 : 80,114.40 = 16,468.80 : x
  2. Step 2: Convert to fraction form
    53,409.60/80,114.40 = 16,468.80/x
  3. Step 3: Cross multiply
    53,409.60x = 80,114.40 × 16,468.80
  4. Step 4: Simplify right side
    53,409.60x = 1,319,388,030.72
  5. Step 5: Solve for x
    x = 1,319,388,030.72/53,409.60
  6. Step 6: Final answer
    x = 24,703.20

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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.