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Finding the Fourth Proportional to 46,130.40, 69,160.74 and 19,484.64

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Solution

The fourth proportional to 46,130.40, 69,160.74 and 19,484.64 is: 29,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,130.40 : 69,160.74 = 19,484.64 : x
  2. Step 2: Convert to fraction form
    46,130.40/69,160.74 = 19,484.64/x
  3. Step 3: Cross multiply
    46,130.40x = 69,160.74 × 19,484.64
  4. Step 4: Simplify right side
    46,130.40x = 1,347,572,121.03
  5. Step 5: Solve for x
    x = 1,347,572,121.03/46,130.40
  6. Step 6: Final answer
    x = 29,212.24

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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.