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Finding the Fourth Proportional to 56,497, 77,965.80 and 31,003.51

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Solution

The fourth proportional to 56,497, 77,965.80 and 31,003.51 is: 42,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497 : 77,965.80 = 31,003.51 : x
  2. Step 2: Convert to fraction form
    56,497/77,965.80 = 31,003.51/x
  3. Step 3: Cross multiply
    56,497x = 77,965.80 × 31,003.51
  4. Step 4: Simplify right side
    56,497x = 2,417,213,459.96
  5. Step 5: Solve for x
    x = 2,417,213,459.96/56,497
  6. Step 6: Final answer
    x = 42,784.81

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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.