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Finding the Fourth Proportional to 46,480, 70,135.41 and 46,480

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Solution

The fourth proportional to 46,480, 70,135.41 and 46,480 is: 70,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,480 : 70,135.41 = 46,480 : x
  2. Step 2: Convert to fraction form
    46,480/70,135.41 = 46,480/x
  3. Step 3: Cross multiply
    46,480x = 70,135.41 × 46,480
  4. Step 4: Simplify right side
    46,480x = 3,259,893,856.80
  5. Step 5: Solve for x
    x = 3,259,893,856.80/46,480
  6. Step 6: Final answer
    x = 70,135.41

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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.