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Finding the Fourth Proportional to 93,821.64, 140,750.18 and 37,666.16

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Solution

The fourth proportional to 93,821.64, 140,750.18 and 37,666.16 is: 56,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,821.64 : 140,750.18 = 37,666.16 : x
  2. Step 2: Convert to fraction form
    93,821.64/140,750.18 = 37,666.16/x
  3. Step 3: Cross multiply
    93,821.64x = 140,750.18 × 37,666.16
  4. Step 4: Simplify right side
    93,821.64x = 5,301,518,576.89
  5. Step 5: Solve for x
    x = 5,301,518,576.89/93,821.64
  6. Step 6: Final answer
    x = 56,506.35

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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.