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Finding the Fourth Proportional to 53,417.58, 73,709.79 and 29,541

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Solution

The fourth proportional to 53,417.58, 73,709.79 and 29,541 is: 40,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417.58 : 73,709.79 = 29,541 : x
  2. Step 2: Convert to fraction form
    53,417.58/73,709.79 = 29,541/x
  3. Step 3: Cross multiply
    53,417.58x = 73,709.79 × 29,541
  4. Step 4: Simplify right side
    53,417.58x = 2,177,460,906.39
  5. Step 5: Solve for x
    x = 2,177,460,906.39/53,417.58
  6. Step 6: Final answer
    x = 40,763.00

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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.