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Finding the Fourth Proportional to 97,294, 134,265.72 and 52,582

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Solution

The fourth proportional to 97,294, 134,265.72 and 52,582 is: 72,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294 : 134,265.72 = 52,582 : x
  2. Step 2: Convert to fraction form
    97,294/134,265.72 = 52,582/x
  3. Step 3: Cross multiply
    97,294x = 134,265.72 × 52,582
  4. Step 4: Simplify right side
    97,294x = 7,059,960,089.04
  5. Step 5: Solve for x
    x = 7,059,960,089.04/97,294
  6. Step 6: Final answer
    x = 72,563.16

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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.