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Finding the Fourth Proportional to 51,710, 77,565 and 16,653.20

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Solution

The fourth proportional to 51,710, 77,565 and 16,653.20 is: 24,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710 : 77,565 = 16,653.20 : x
  2. Step 2: Convert to fraction form
    51,710/77,565 = 16,653.20/x
  3. Step 3: Cross multiply
    51,710x = 77,565 × 16,653.20
  4. Step 4: Simplify right side
    51,710x = 1,291,705,458
  5. Step 5: Solve for x
    x = 1,291,705,458/51,710
  6. Step 6: Final answer
    x = 24,979.80

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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.