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Finding the Fourth Proportional to 50,055.60, 69,075 and 27,698.16

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Solution

The fourth proportional to 50,055.60, 69,075 and 27,698.16 is: 38,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,055.60 : 69,075 = 27,698.16 : x
  2. Step 2: Convert to fraction form
    50,055.60/69,075 = 27,698.16/x
  3. Step 3: Cross multiply
    50,055.60x = 69,075 × 27,698.16
  4. Step 4: Simplify right side
    50,055.60x = 1,913,250,402
  5. Step 5: Solve for x
    x = 1,913,250,402/50,055.60
  6. Step 6: Final answer
    x = 38,222.50

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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.