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Finding the Fourth Proportional to 97,421, 134,440.98 and 52,709

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Solution

The fourth proportional to 97,421, 134,440.98 and 52,709 is: 72,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,421 : 134,440.98 = 52,709 : x
  2. Step 2: Convert to fraction form
    97,421/134,440.98 = 52,709/x
  3. Step 3: Cross multiply
    97,421x = 134,440.98 × 52,709
  4. Step 4: Simplify right side
    97,421x = 7,086,249,614.82
  5. Step 5: Solve for x
    x = 7,086,249,614.82/97,421
  6. Step 6: Final answer
    x = 72,738.42

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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.