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Finding the Fourth Proportional to 53,204.76, 79,807.92 and 15,768.63

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Solution

The fourth proportional to 53,204.76, 79,807.92 and 15,768.63 is: 23,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.76 : 79,807.92 = 15,768.63 : x
  2. Step 2: Convert to fraction form
    53,204.76/79,807.92 = 15,768.63/x
  3. Step 3: Cross multiply
    53,204.76x = 79,807.92 × 15,768.63
  4. Step 4: Simplify right side
    53,204.76x = 1,258,461,162.51
  5. Step 5: Solve for x
    x = 1,258,461,162.51/53,204.76
  6. Step 6: Final answer
    x = 23,653.17

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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.