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Finding the Fourth Proportional to 44,840.40, 61,902.08 and 34,746

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Solution

The fourth proportional to 44,840.40, 61,902.08 and 34,746 is: 47,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,840.40 : 61,902.08 = 34,746 : x
  2. Step 2: Convert to fraction form
    44,840.40/61,902.08 = 34,746/x
  3. Step 3: Cross multiply
    44,840.40x = 61,902.08 × 34,746
  4. Step 4: Simplify right side
    44,840.40x = 2,150,849,671.68
  5. Step 5: Solve for x
    x = 2,150,849,671.68/44,840.40
  6. Step 6: Final answer
    x = 47,966.78

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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.