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Finding the Fourth Proportional to 51,782.60, 77,053.69 and 51,607.64

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Solution

The fourth proportional to 51,782.60, 77,053.69 and 51,607.64 is: 76,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,782.60 : 77,053.69 = 51,607.64 : x
  2. Step 2: Convert to fraction form
    51,782.60/77,053.69 = 51,607.64/x
  3. Step 3: Cross multiply
    51,782.60x = 77,053.69 × 51,607.64
  4. Step 4: Simplify right side
    51,782.60x = 3,976,559,094.19
  5. Step 5: Solve for x
    x = 3,976,559,094.19/51,782.60
  6. Step 6: Final answer
    x = 76,793.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.