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Finding the Fourth Proportional to 52,343, 78,515.36 and 14,904

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Solution

The fourth proportional to 52,343, 78,515.36 and 14,904 is: 22,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,343 : 78,515.36 = 14,904 : x
  2. Step 2: Convert to fraction form
    52,343/78,515.36 = 14,904/x
  3. Step 3: Cross multiply
    52,343x = 78,515.36 × 14,904
  4. Step 4: Simplify right side
    52,343x = 1,170,192,925.44
  5. Step 5: Solve for x
    x = 1,170,192,925.44/52,343
  6. Step 6: Final answer
    x = 22,356.24

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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.