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Finding the Fourth Proportional to 46,678.34, 70,017.39 and 11,618

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Solution

The fourth proportional to 46,678.34, 70,017.39 and 11,618 is: 17,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678.34 : 70,017.39 = 11,618 : x
  2. Step 2: Convert to fraction form
    46,678.34/70,017.39 = 11,618/x
  3. Step 3: Cross multiply
    46,678.34x = 70,017.39 × 11,618
  4. Step 4: Simplify right side
    46,678.34x = 813,462,037.02
  5. Step 5: Solve for x
    x = 813,462,037.02/46,678.34
  6. Step 6: Final answer
    x = 17,426.97

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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.