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Finding the Fourth Proportional to 51,547.42, 77,317.44 and 16,007.77

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Solution

The fourth proportional to 51,547.42, 77,317.44 and 16,007.77 is: 24,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,547.42 : 77,317.44 = 16,007.77 : x
  2. Step 2: Convert to fraction form
    51,547.42/77,317.44 = 16,007.77/x
  3. Step 3: Cross multiply
    51,547.42x = 77,317.44 × 16,007.77
  4. Step 4: Simplify right side
    51,547.42x = 1,237,679,796.51
  5. Step 5: Solve for x
    x = 1,237,679,796.51/51,547.42
  6. Step 6: Final answer
    x = 24,010.51

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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.