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Finding the Fourth Proportional to 51,746.44, 77,603.46 and 34,308.76

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Solution

The fourth proportional to 51,746.44, 77,603.46 and 34,308.76 is: 51,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,746.44 : 77,603.46 = 34,308.76 : x
  2. Step 2: Convert to fraction form
    51,746.44/77,603.46 = 34,308.76/x
  3. Step 3: Cross multiply
    51,746.44x = 77,603.46 × 34,308.76
  4. Step 4: Simplify right side
    51,746.44x = 2,662,478,484.31
  5. Step 5: Solve for x
    x = 2,662,478,484.31/51,746.44
  6. Step 6: Final answer
    x = 51,452.40

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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.