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Finding the Fourth Proportional to 52,113.93, 77,984.03 and 45,118

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Solution

The fourth proportional to 52,113.93, 77,984.03 and 45,118 is: 67,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.93 : 77,984.03 = 45,118 : x
  2. Step 2: Convert to fraction form
    52,113.93/77,984.03 = 45,118/x
  3. Step 3: Cross multiply
    52,113.93x = 77,984.03 × 45,118
  4. Step 4: Simplify right side
    52,113.93x = 3,518,483,465.54
  5. Step 5: Solve for x
    x = 3,518,483,465.54/52,113.93
  6. Step 6: Final answer
    x = 67,515.22

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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.