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Finding the Fourth Proportional to 58,386.24, 87,592.32 and 16,830

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Solution

The fourth proportional to 58,386.24, 87,592.32 and 16,830 is: 25,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,386.24 : 87,592.32 = 16,830 : x
  2. Step 2: Convert to fraction form
    58,386.24/87,592.32 = 16,830/x
  3. Step 3: Cross multiply
    58,386.24x = 87,592.32 × 16,830
  4. Step 4: Simplify right side
    58,386.24x = 1,474,178,745.60
  5. Step 5: Solve for x
    x = 1,474,178,745.60/58,386.24
  6. Step 6: Final answer
    x = 25,248.74

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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.