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Finding the Fourth Proportional to 52,468, 72,403.70 and 28,594.16

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Solution

The fourth proportional to 52,468, 72,403.70 and 28,594.16 is: 39,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,468 : 72,403.70 = 28,594.16 : x
  2. Step 2: Convert to fraction form
    52,468/72,403.70 = 28,594.16/x
  3. Step 3: Cross multiply
    52,468x = 72,403.70 × 28,594.16
  4. Step 4: Simplify right side
    52,468x = 2,070,322,982.39
  5. Step 5: Solve for x
    x = 2,070,322,982.39/52,468
  6. Step 6: Final answer
    x = 39,458.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.