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Finding the Fourth Proportional to 46,436.64, 69,666.72 and 21,494.64

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Solution

The fourth proportional to 46,436.64, 69,666.72 and 21,494.64 is: 32,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,436.64 : 69,666.72 = 21,494.64 : x
  2. Step 2: Convert to fraction form
    46,436.64/69,666.72 = 21,494.64/x
  3. Step 3: Cross multiply
    46,436.64x = 69,666.72 × 21,494.64
  4. Step 4: Simplify right side
    46,436.64x = 1,497,461,066.38
  5. Step 5: Solve for x
    x = 1,497,461,066.38/46,436.64
  6. Step 6: Final answer
    x = 32,247.40

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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.