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Finding the Fourth Proportional to 53,001.84, 73,142.40 and 29,130

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Solution

The fourth proportional to 53,001.84, 73,142.40 and 29,130 is: 40,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,001.84 : 73,142.40 = 29,130 : x
  2. Step 2: Convert to fraction form
    53,001.84/73,142.40 = 29,130/x
  3. Step 3: Cross multiply
    53,001.84x = 73,142.40 × 29,130
  4. Step 4: Simplify right side
    53,001.84x = 2,130,638,112.00
  5. Step 5: Solve for x
    x = 2,130,638,112.00/53,001.84
  6. Step 6: Final answer
    x = 40,199.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.