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Finding the Fourth Proportional to 70,655, 97,503.64 and 38,389.40

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Solution

The fourth proportional to 70,655, 97,503.64 and 38,389.40 is: 52,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,655 : 97,503.64 = 38,389.40 : x
  2. Step 2: Convert to fraction form
    70,655/97,503.64 = 38,389.40/x
  3. Step 3: Cross multiply
    70,655x = 97,503.64 × 38,389.40
  4. Step 4: Simplify right side
    70,655x = 3,743,106,237.42
  5. Step 5: Solve for x
    x = 3,743,106,237.42/70,655
  6. Step 6: Final answer
    x = 52,977.23

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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.