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Finding the Fourth Proportional to 46,897.50, 70,363.53 and 24,709.98

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Solution

The fourth proportional to 46,897.50, 70,363.53 and 24,709.98 is: 37,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897.50 : 70,363.53 = 24,709.98 : x
  2. Step 2: Convert to fraction form
    46,897.50/70,363.53 = 24,709.98/x
  3. Step 3: Cross multiply
    46,897.50x = 70,363.53 × 24,709.98
  4. Step 4: Simplify right side
    46,897.50x = 1,738,681,419.03
  5. Step 5: Solve for x
    x = 1,738,681,419.03/46,897.50
  6. Step 6: Final answer
    x = 37,074.07

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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.