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Finding the Fourth Proportional to 60,684.95, 83,742.41 and 33,830.01

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Solution

The fourth proportional to 60,684.95, 83,742.41 and 33,830.01 is: 46,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,684.95 : 83,742.41 = 33,830.01 : x
  2. Step 2: Convert to fraction form
    60,684.95/83,742.41 = 33,830.01/x
  3. Step 3: Cross multiply
    60,684.95x = 83,742.41 × 33,830.01
  4. Step 4: Simplify right side
    60,684.95x = 2,833,006,398.57
  5. Step 5: Solve for x
    x = 2,833,006,398.57/60,684.95
  6. Step 6: Final answer
    x = 46,683.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.