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Finding the Fourth Proportional to 97,423, 134,443.74 and 52,711

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Solution

The fourth proportional to 97,423, 134,443.74 and 52,711 is: 72,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423 : 134,443.74 = 52,711 : x
  2. Step 2: Convert to fraction form
    97,423/134,443.74 = 52,711/x
  3. Step 3: Cross multiply
    97,423x = 134,443.74 × 52,711
  4. Step 4: Simplify right side
    97,423x = 7,086,663,979.14
  5. Step 5: Solve for x
    x = 7,086,663,979.14/97,423
  6. Step 6: Final answer
    x = 72,741.18

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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.