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Finding the Fourth Proportional to 42,486.36, 63,730.76 and 14,406.50

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Solution

The fourth proportional to 42,486.36, 63,730.76 and 14,406.50 is: 21,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,486.36 : 63,730.76 = 14,406.50 : x
  2. Step 2: Convert to fraction form
    42,486.36/63,730.76 = 14,406.50/x
  3. Step 3: Cross multiply
    42,486.36x = 63,730.76 × 14,406.50
  4. Step 4: Simplify right side
    42,486.36x = 918,137,193.94
  5. Step 5: Solve for x
    x = 918,137,193.94/42,486.36
  6. Step 6: Final answer
    x = 21,610.16

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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.