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Finding the Fourth Proportional to 56,496, 77,964.42 and 31,002.51

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Solution

The fourth proportional to 56,496, 77,964.42 and 31,002.51 is: 42,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,496 : 77,964.42 = 31,002.51 : x
  2. Step 2: Convert to fraction form
    56,496/77,964.42 = 31,002.51/x
  3. Step 3: Cross multiply
    56,496x = 77,964.42 × 31,002.51
  4. Step 4: Simplify right side
    56,496x = 2,417,092,710.69
  5. Step 5: Solve for x
    x = 2,417,092,710.69/56,496
  6. Step 6: Final answer
    x = 42,783.43

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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.