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Finding the Fourth Proportional to 70,016.16, 105,068.04 and 46,659

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Solution

The fourth proportional to 70,016.16, 105,068.04 and 46,659 is: 70,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,016.16 : 105,068.04 = 46,659 : x
  2. Step 2: Convert to fraction form
    70,016.16/105,068.04 = 46,659/x
  3. Step 3: Cross multiply
    70,016.16x = 105,068.04 × 46,659
  4. Step 4: Simplify right side
    70,016.16x = 4,902,369,678.36
  5. Step 5: Solve for x
    x = 4,902,369,678.36/70,016.16
  6. Step 6: Final answer
    x = 70,017.69

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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.