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Finding the Fourth Proportional to 30,973.10, 46,389.38 and 19,728.50

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Solution

The fourth proportional to 30,973.10, 46,389.38 and 19,728.50 is: 29,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.10 : 46,389.38 = 19,728.50 : x
  2. Step 2: Convert to fraction form
    30,973.10/46,389.38 = 19,728.50/x
  3. Step 3: Cross multiply
    30,973.10x = 46,389.38 × 19,728.50
  4. Step 4: Simplify right side
    30,973.10x = 915,192,552.74
  5. Step 5: Solve for x
    x = 915,192,552.74/30,973.10
  6. Step 6: Final answer
    x = 29,547.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.