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Finding the Fourth Proportional to 46,575, 69,864.12 and 15,409.44

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Solution

The fourth proportional to 46,575, 69,864.12 and 15,409.44 is: 23,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,575 : 69,864.12 = 15,409.44 : x
  2. Step 2: Convert to fraction form
    46,575/69,864.12 = 15,409.44/x
  3. Step 3: Cross multiply
    46,575x = 69,864.12 × 15,409.44
  4. Step 4: Simplify right side
    46,575x = 1,076,566,965.29
  5. Step 5: Solve for x
    x = 1,076,566,965.29/46,575
  6. Step 6: Final answer
    x = 23,114.70

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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.