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Finding the Fourth Proportional to 42,140.01, 63,210.42 and 17,175

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Solution

The fourth proportional to 42,140.01, 63,210.42 and 17,175 is: 25,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,140.01 : 63,210.42 = 17,175 : x
  2. Step 2: Convert to fraction form
    42,140.01/63,210.42 = 17,175/x
  3. Step 3: Cross multiply
    42,140.01x = 63,210.42 × 17,175
  4. Step 4: Simplify right side
    42,140.01x = 1,085,638,963.50
  5. Step 5: Solve for x
    x = 1,085,638,963.50/42,140.01
  6. Step 6: Final answer
    x = 25,762.67

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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.