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Finding the Fourth Proportional to 93,465.94, 128,971.65 and 53,184.82

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Solution

The fourth proportional to 93,465.94, 128,971.65 and 53,184.82 is: 73,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465.94 : 128,971.65 = 53,184.82 : x
  2. Step 2: Convert to fraction form
    93,465.94/128,971.65 = 53,184.82/x
  3. Step 3: Cross multiply
    93,465.94x = 128,971.65 × 53,184.82
  4. Step 4: Simplify right side
    93,465.94x = 6,859,333,990.35
  5. Step 5: Solve for x
    x = 6,859,333,990.35/93,465.94
  6. Step 6: Final answer
    x = 73,388.59

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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.