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Finding the Fourth Proportional to 53,175, 79,762.50 and 16,239

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Solution

The fourth proportional to 53,175, 79,762.50 and 16,239 is: 24,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,175 : 79,762.50 = 16,239 : x
  2. Step 2: Convert to fraction form
    53,175/79,762.50 = 16,239/x
  3. Step 3: Cross multiply
    53,175x = 79,762.50 × 16,239
  4. Step 4: Simplify right side
    53,175x = 1,295,263,237.50
  5. Step 5: Solve for x
    x = 1,295,263,237.50/53,175
  6. Step 6: Final answer
    x = 24,358.50

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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.