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Finding the Fourth Proportional to 52,145.60, 78,218.40 and 19,326.40

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Solution

The fourth proportional to 52,145.60, 78,218.40 and 19,326.40 is: 28,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.60 : 78,218.40 = 19,326.40 : x
  2. Step 2: Convert to fraction form
    52,145.60/78,218.40 = 19,326.40/x
  3. Step 3: Cross multiply
    52,145.60x = 78,218.40 × 19,326.40
  4. Step 4: Simplify right side
    52,145.60x = 1,511,680,085.76
  5. Step 5: Solve for x
    x = 1,511,680,085.76/52,145.60
  6. Step 6: Final answer
    x = 28,989.60

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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.