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Finding the Fourth Proportional to 53,703.56, 74,111 and 29,829.60

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Solution

The fourth proportional to 53,703.56, 74,111 and 29,829.60 is: 41,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.56 : 74,111 = 29,829.60 : x
  2. Step 2: Convert to fraction form
    53,703.56/74,111 = 29,829.60/x
  3. Step 3: Cross multiply
    53,703.56x = 74,111 × 29,829.60
  4. Step 4: Simplify right side
    53,703.56x = 2,210,701,485.60
  5. Step 5: Solve for x
    x = 2,210,701,485.60/53,703.56
  6. Step 6: Final answer
    x = 41,164.90

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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.