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Finding the Fourth Proportional to 93,284.48, 139,946.24 and 51,644.16

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Solution

The fourth proportional to 93,284.48, 139,946.24 and 51,644.16 is: 77,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,284.48 : 139,946.24 = 51,644.16 : x
  2. Step 2: Convert to fraction form
    93,284.48/139,946.24 = 51,644.16/x
  3. Step 3: Cross multiply
    93,284.48x = 139,946.24 × 51,644.16
  4. Step 4: Simplify right side
    93,284.48x = 7,227,406,009.96
  5. Step 5: Solve for x
    x = 7,227,406,009.96/93,284.48
  6. Step 6: Final answer
    x = 77,477.05

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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.