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Finding the Fourth Proportional to 52,282.64, 72,150.50 and 28,409.32

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Solution

The fourth proportional to 52,282.64, 72,150.50 and 28,409.32 is: 39,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,282.64 : 72,150.50 = 28,409.32 : x
  2. Step 2: Convert to fraction form
    52,282.64/72,150.50 = 28,409.32/x
  3. Step 3: Cross multiply
    52,282.64x = 72,150.50 × 28,409.32
  4. Step 4: Simplify right side
    52,282.64x = 2,049,746,478.63
  5. Step 5: Solve for x
    x = 2,049,746,478.63/52,282.64
  6. Step 6: Final answer
    x = 39,205.10

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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.