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Finding the Fourth Proportional to 58,235, 87,352.50 and 14,459

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Solution

The fourth proportional to 58,235, 87,352.50 and 14,459 is: 21,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,235 : 87,352.50 = 14,459 : x
  2. Step 2: Convert to fraction form
    58,235/87,352.50 = 14,459/x
  3. Step 3: Cross multiply
    58,235x = 87,352.50 × 14,459
  4. Step 4: Simplify right side
    58,235x = 1,263,029,797.50
  5. Step 5: Solve for x
    x = 1,263,029,797.50/58,235
  6. Step 6: Final answer
    x = 21,688.50

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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.