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Finding the Fourth Proportional to 70,345.50, 105,518.25 and 21,097.50

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Solution

The fourth proportional to 70,345.50, 105,518.25 and 21,097.50 is: 31,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,345.50 : 105,518.25 = 21,097.50 : x
  2. Step 2: Convert to fraction form
    70,345.50/105,518.25 = 21,097.50/x
  3. Step 3: Cross multiply
    70,345.50x = 105,518.25 × 21,097.50
  4. Step 4: Simplify right side
    70,345.50x = 2,226,171,279.38
  5. Step 5: Solve for x
    x = 2,226,171,279.38/70,345.50
  6. Step 6: Final answer
    x = 31,646.25

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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.