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Finding the Fourth Proportional to 51,742.54, 77,959.56 and 46,750.71

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Solution

The fourth proportional to 51,742.54, 77,959.56 and 46,750.71 is: 70,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,742.54 : 77,959.56 = 46,750.71 : x
  2. Step 2: Convert to fraction form
    51,742.54/77,959.56 = 46,750.71/x
  3. Step 3: Cross multiply
    51,742.54x = 77,959.56 × 46,750.71
  4. Step 4: Simplify right side
    51,742.54x = 3,644,664,547.53
  5. Step 5: Solve for x
    x = 3,644,664,547.53/51,742.54
  6. Step 6: Final answer
    x = 70,438.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.