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Finding the Fourth Proportional to 93,875.78, 140,831.78 and 30,678.84

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Solution

The fourth proportional to 93,875.78, 140,831.78 and 30,678.84 is: 46,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,875.78 : 140,831.78 = 30,678.84 : x
  2. Step 2: Convert to fraction form
    93,875.78/140,831.78 = 30,678.84/x
  3. Step 3: Cross multiply
    93,875.78x = 140,831.78 × 30,678.84
  4. Step 4: Simplify right side
    93,875.78x = 4,320,555,492.14
  5. Step 5: Solve for x
    x = 4,320,555,492.14/93,875.78
  6. Step 6: Final answer
    x = 46,024.18

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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.