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Finding the Fourth Proportional to 46,897.50, 70,346.25 and 14,065.50

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Solution

The fourth proportional to 46,897.50, 70,346.25 and 14,065.50 is: 21,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897.50 : 70,346.25 = 14,065.50 : x
  2. Step 2: Convert to fraction form
    46,897.50/70,346.25 = 14,065.50/x
  3. Step 3: Cross multiply
    46,897.50x = 70,346.25 × 14,065.50
  4. Step 4: Simplify right side
    46,897.50x = 989,455,179.38
  5. Step 5: Solve for x
    x = 989,455,179.38/46,897.50
  6. Step 6: Final answer
    x = 21,098.25

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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.