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Finding the Fourth Proportional to 59,780, 82,518.96 and 46,999.84

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Solution

The fourth proportional to 59,780, 82,518.96 and 46,999.84 is: 64,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780 : 82,518.96 = 46,999.84 : x
  2. Step 2: Convert to fraction form
    59,780/82,518.96 = 46,999.84/x
  3. Step 3: Cross multiply
    59,780x = 82,518.96 × 46,999.84
  4. Step 4: Simplify right side
    59,780x = 3,878,377,916.97
  5. Step 5: Solve for x
    x = 3,878,377,916.97/59,780
  6. Step 6: Final answer
    x = 64,877.52

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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.