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Finding the Fourth Proportional to 70,055.76, 96,671.86 and 38,224

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Solution

The fourth proportional to 70,055.76, 96,671.86 and 38,224 is: 52,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,055.76 : 96,671.86 = 38,224 : x
  2. Step 2: Convert to fraction form
    70,055.76/96,671.86 = 38,224/x
  3. Step 3: Cross multiply
    70,055.76x = 96,671.86 × 38,224
  4. Step 4: Simplify right side
    70,055.76x = 3,695,185,176.64
  5. Step 5: Solve for x
    x = 3,695,185,176.64/70,055.76
  6. Step 6: Final answer
    x = 52,746.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.