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Finding the Fourth Proportional to 46,476.75, 69,726.06 and 15,312

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Solution

The fourth proportional to 46,476.75, 69,726.06 and 15,312 is: 22,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,476.75 : 69,726.06 = 15,312 : x
  2. Step 2: Convert to fraction form
    46,476.75/69,726.06 = 15,312/x
  3. Step 3: Cross multiply
    46,476.75x = 69,726.06 × 15,312
  4. Step 4: Simplify right side
    46,476.75x = 1,067,645,430.72
  5. Step 5: Solve for x
    x = 1,067,645,430.72/46,476.75
  6. Step 6: Final answer
    x = 22,971.60

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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.