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Finding the Fourth Proportional to 53,980, 74,502.48 and 31,624

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Solution

The fourth proportional to 53,980, 74,502.48 and 31,624 is: 43,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,980 : 74,502.48 = 31,624 : x
  2. Step 2: Convert to fraction form
    53,980/74,502.48 = 31,624/x
  3. Step 3: Cross multiply
    53,980x = 74,502.48 × 31,624
  4. Step 4: Simplify right side
    53,980x = 2,356,066,427.52
  5. Step 5: Solve for x
    x = 2,356,066,427.52/53,980
  6. Step 6: Final answer
    x = 43,647.03

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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.