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Finding the Fourth Proportional to 53,411, 73,705.96 and 29,537.88

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Solution

The fourth proportional to 53,411, 73,705.96 and 29,537.88 is: 40,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,411 : 73,705.96 = 29,537.88 : x
  2. Step 2: Convert to fraction form
    53,411/73,705.96 = 29,537.88/x
  3. Step 3: Cross multiply
    53,411x = 73,705.96 × 29,537.88
  4. Step 4: Simplify right side
    53,411x = 2,177,117,801.76
  5. Step 5: Solve for x
    x = 2,177,117,801.76/53,411
  6. Step 6: Final answer
    x = 40,761.60

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1.5x scale

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.