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Finding the Fourth Proportional to 93,458.16, 128,971.62 and 51,016.68

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Solution

The fourth proportional to 93,458.16, 128,971.62 and 51,016.68 is: 70,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,458.16 : 128,971.62 = 51,016.68 : x
  2. Step 2: Convert to fraction form
    93,458.16/128,971.62 = 51,016.68/x
  3. Step 3: Cross multiply
    93,458.16x = 128,971.62 × 51,016.68
  4. Step 4: Simplify right side
    93,458.16x = 6,579,703,866.62
  5. Step 5: Solve for x
    x = 6,579,703,866.62/93,458.16
  6. Step 6: Final answer
    x = 70,402.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.