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Finding the Fourth Proportional to 55,457, 83,135.58 and 20,389.16

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Solution

The fourth proportional to 55,457, 83,135.58 and 20,389.16 is: 30,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,457 : 83,135.58 = 20,389.16 : x
  2. Step 2: Convert to fraction form
    55,457/83,135.58 = 20,389.16/x
  3. Step 3: Cross multiply
    55,457x = 83,135.58 × 20,389.16
  4. Step 4: Simplify right side
    55,457x = 1,695,064,642.31
  5. Step 5: Solve for x
    x = 1,695,064,642.31/55,457
  6. Step 6: Final answer
    x = 30,565.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.