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Finding the Fourth Proportional to 46,957.69, 70,448.06 and 13,678.07

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Solution

The fourth proportional to 46,957.69, 70,448.06 and 13,678.07 is: 20,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.69 : 70,448.06 = 13,678.07 : x
  2. Step 2: Convert to fraction form
    46,957.69/70,448.06 = 13,678.07/x
  3. Step 3: Cross multiply
    46,957.69x = 70,448.06 × 13,678.07
  4. Step 4: Simplify right side
    46,957.69x = 963,593,178.00
  5. Step 5: Solve for x
    x = 963,593,178.00/46,957.69
  6. Step 6: Final answer
    x = 20,520.45

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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.