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Finding the Fourth Proportional to 58,237, 87,355.50 and 14,461

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Solution

The fourth proportional to 58,237, 87,355.50 and 14,461 is: 21,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,237 : 87,355.50 = 14,461 : x
  2. Step 2: Convert to fraction form
    58,237/87,355.50 = 14,461/x
  3. Step 3: Cross multiply
    58,237x = 87,355.50 × 14,461
  4. Step 4: Simplify right side
    58,237x = 1,263,247,885.50
  5. Step 5: Solve for x
    x = 1,263,247,885.50/58,237
  6. Step 6: Final answer
    x = 21,691.50

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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.