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Finding the Fourth Proportional to 70,578.66, 97,392.74 and 38,746.46

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Solution

The fourth proportional to 70,578.66, 97,392.74 and 38,746.46 is: 53,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578.66 : 97,392.74 = 38,746.46 : x
  2. Step 2: Convert to fraction form
    70,578.66/97,392.74 = 38,746.46/x
  3. Step 3: Cross multiply
    70,578.66x = 97,392.74 × 38,746.46
  4. Step 4: Simplify right side
    70,578.66x = 3,773,623,904.70
  5. Step 5: Solve for x
    x = 3,773,623,904.70/70,578.66
  6. Step 6: Final answer
    x = 53,466.92

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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.