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Finding the Fourth Proportional to 30,602.30, 45,875.28 and 11,894.78

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Solution

The fourth proportional to 30,602.30, 45,875.28 and 11,894.78 is: 17,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.30 : 45,875.28 = 11,894.78 : x
  2. Step 2: Convert to fraction form
    30,602.30/45,875.28 = 11,894.78/x
  3. Step 3: Cross multiply
    30,602.30x = 45,875.28 × 11,894.78
  4. Step 4: Simplify right side
    30,602.30x = 545,676,363.04
  5. Step 5: Solve for x
    x = 545,676,363.04/30,602.30
  6. Step 6: Final answer
    x = 17,831.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.