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Finding the Fourth Proportional to 51,610, 77,428 and 14,674

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Solution

The fourth proportional to 51,610, 77,428 and 14,674 is: 22,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,610 : 77,428 = 14,674 : x
  2. Step 2: Convert to fraction form
    51,610/77,428 = 14,674/x
  3. Step 3: Cross multiply
    51,610x = 77,428 × 14,674
  4. Step 4: Simplify right side
    51,610x = 1,136,178,472
  5. Step 5: Solve for x
    x = 1,136,178,472/51,610
  6. Step 6: Final answer
    x = 22,014.70

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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.