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Finding the Fourth Proportional to 46,303, 69,491.74 and 24,123

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Solution

The fourth proportional to 46,303, 69,491.74 and 24,123 is: 36,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,303 : 69,491.74 = 24,123 : x
  2. Step 2: Convert to fraction form
    46,303/69,491.74 = 24,123/x
  3. Step 3: Cross multiply
    46,303x = 69,491.74 × 24,123
  4. Step 4: Simplify right side
    46,303x = 1,676,349,244.02
  5. Step 5: Solve for x
    x = 1,676,349,244.02/46,303
  6. Step 6: Final answer
    x = 36,203.90

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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.