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Finding the Fourth Proportional to 46,686.32, 70,018.81 and 13,406.12

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Solution

The fourth proportional to 46,686.32, 70,018.81 and 13,406.12 is: 20,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,686.32 : 70,018.81 = 13,406.12 : x
  2. Step 2: Convert to fraction form
    46,686.32/70,018.81 = 13,406.12/x
  3. Step 3: Cross multiply
    46,686.32x = 70,018.81 × 13,406.12
  4. Step 4: Simplify right side
    46,686.32x = 938,680,185.51
  5. Step 5: Solve for x
    x = 938,680,185.51/46,686.32
  6. Step 6: Final answer
    x = 20,106.11

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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.