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Finding the Fourth Proportional to 93,033.12, 128,384.80 and 50,592

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Solution

The fourth proportional to 93,033.12, 128,384.80 and 50,592 is: 69,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,033.12 : 128,384.80 = 50,592 : x
  2. Step 2: Convert to fraction form
    93,033.12/128,384.80 = 50,592/x
  3. Step 3: Cross multiply
    93,033.12x = 128,384.80 × 50,592
  4. Step 4: Simplify right side
    93,033.12x = 6,495,243,801.60
  5. Step 5: Solve for x
    x = 6,495,243,801.60/93,033.12
  6. Step 6: Final answer
    x = 69,816.47

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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.