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Finding the Fourth Proportional to 46,805.04, 70,192.98 and 15,633

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Solution

The fourth proportional to 46,805.04, 70,192.98 and 15,633 is: 23,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,805.04 : 70,192.98 = 15,633 : x
  2. Step 2: Convert to fraction form
    46,805.04/70,192.98 = 15,633/x
  3. Step 3: Cross multiply
    46,805.04x = 70,192.98 × 15,633
  4. Step 4: Simplify right side
    46,805.04x = 1,097,326,856.34
  5. Step 5: Solve for x
    x = 1,097,326,856.34/46,805.04
  6. Step 6: Final answer
    x = 23,444.63

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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.