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Finding the Fourth Proportional to 93,412.84, 140,088.54 and 31,066.60

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Solution

The fourth proportional to 93,412.84, 140,088.54 and 31,066.60 is: 46,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,412.84 : 140,088.54 = 31,066.60 : x
  2. Step 2: Convert to fraction form
    93,412.84/140,088.54 = 31,066.60/x
  3. Step 3: Cross multiply
    93,412.84x = 140,088.54 × 31,066.60
  4. Step 4: Simplify right side
    93,412.84x = 4,352,074,636.76
  5. Step 5: Solve for x
    x = 4,352,074,636.76/93,412.84
  6. Step 6: Final answer
    x = 46,589.68

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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.