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Finding the Fourth Proportional to 117,772.40, 176,669.40 and 47,637.20

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Solution

The fourth proportional to 117,772.40, 176,669.40 and 47,637.20 is: 71,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,772.40 : 176,669.40 = 47,637.20 : x
  2. Step 2: Convert to fraction form
    117,772.40/176,669.40 = 47,637.20/x
  3. Step 3: Cross multiply
    117,772.40x = 176,669.40 × 47,637.20
  4. Step 4: Simplify right side
    117,772.40x = 8,416,035,541.68
  5. Step 5: Solve for x
    x = 8,416,035,541.68/117,772.40
  6. Step 6: Final answer
    x = 71,460.17

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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.