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Finding the Fourth Proportional to 51,802.60, 77,704.32 and 16,742.24

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Solution

The fourth proportional to 51,802.60, 77,704.32 and 16,742.24 is: 25,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.60 : 77,704.32 = 16,742.24 : x
  2. Step 2: Convert to fraction form
    51,802.60/77,704.32 = 16,742.24/x
  3. Step 3: Cross multiply
    51,802.60x = 77,704.32 × 16,742.24
  4. Step 4: Simplify right side
    51,802.60x = 1,300,944,374.48
  5. Step 5: Solve for x
    x = 1,300,944,374.48/51,802.60
  6. Step 6: Final answer
    x = 25,113.50

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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.