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Finding the Fourth Proportional to 70,496, 97,284.64 and 42,205.76

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Solution

The fourth proportional to 70,496, 97,284.64 and 42,205.76 is: 58,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,496 : 97,284.64 = 42,205.76 : x
  2. Step 2: Convert to fraction form
    70,496/97,284.64 = 42,205.76/x
  3. Step 3: Cross multiply
    70,496x = 97,284.64 × 42,205.76
  4. Step 4: Simplify right side
    70,496x = 4,105,972,167.53
  5. Step 5: Solve for x
    x = 4,105,972,167.53/70,496
  6. Step 6: Final answer
    x = 58,244.04

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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.