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Finding the Fourth Proportional to 53,534.85, 73,875 and 29,660.10

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Solution

The fourth proportional to 53,534.85, 73,875 and 29,660.10 is: 40,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,534.85 : 73,875 = 29,660.10 : x
  2. Step 2: Convert to fraction form
    53,534.85/73,875 = 29,660.10/x
  3. Step 3: Cross multiply
    53,534.85x = 73,875 × 29,660.10
  4. Step 4: Simplify right side
    53,534.85x = 2,191,139,887.50
  5. Step 5: Solve for x
    x = 2,191,139,887.50/53,534.85
  6. Step 6: Final answer
    x = 40,929.22

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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.