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Finding the Fourth Proportional to 56,722.98, 85,097.16 and 17,283.18

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Solution

The fourth proportional to 56,722.98, 85,097.16 and 17,283.18 is: 25,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,722.98 : 85,097.16 = 17,283.18 : x
  2. Step 2: Convert to fraction form
    56,722.98/85,097.16 = 17,283.18/x
  3. Step 3: Cross multiply
    56,722.98x = 85,097.16 × 17,283.18
  4. Step 4: Simplify right side
    56,722.98x = 1,470,749,533.77
  5. Step 5: Solve for x
    x = 1,470,749,533.77/56,722.98
  6. Step 6: Final answer
    x = 25,928.64

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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.