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Finding the Fourth Proportional to 34,376.51, 51,564.80 and 9,416.77

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Solution

The fourth proportional to 34,376.51, 51,564.80 and 9,416.77 is: 14,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,376.51 : 51,564.80 = 9,416.77 : x
  2. Step 2: Convert to fraction form
    34,376.51/51,564.80 = 9,416.77/x
  3. Step 3: Cross multiply
    34,376.51x = 51,564.80 × 9,416.77
  4. Step 4: Simplify right side
    34,376.51x = 485,574,046.38
  5. Step 5: Solve for x
    x = 485,574,046.38/34,376.51
  6. Step 6: Final answer
    x = 14,125.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.