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Finding the Fourth Proportional to 92,802.60, 139,190.94 and 30,465

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Solution

The fourth proportional to 92,802.60, 139,190.94 and 30,465 is: 45,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,802.60 : 139,190.94 = 30,465 : x
  2. Step 2: Convert to fraction form
    92,802.60/139,190.94 = 30,465/x
  3. Step 3: Cross multiply
    92,802.60x = 139,190.94 × 30,465
  4. Step 4: Simplify right side
    92,802.60x = 4,240,451,987.10
  5. Step 5: Solve for x
    x = 4,240,451,987.10/92,802.60
  6. Step 6: Final answer
    x = 45,693.25

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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.