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Finding the Fourth Proportional to 43,235, 64,852.50 and 10,403

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Solution

The fourth proportional to 43,235, 64,852.50 and 10,403 is: 15,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,235 : 64,852.50 = 10,403 : x
  2. Step 2: Convert to fraction form
    43,235/64,852.50 = 10,403/x
  3. Step 3: Cross multiply
    43,235x = 64,852.50 × 10,403
  4. Step 4: Simplify right side
    43,235x = 674,660,557.50
  5. Step 5: Solve for x
    x = 674,660,557.50/43,235
  6. Step 6: Final answer
    x = 15,604.50

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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.