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Finding the Fourth Proportional to 64,849.40, 97,058.10 and 47,029.40

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Solution

The fourth proportional to 64,849.40, 97,058.10 and 47,029.40 is: 70,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.40 : 97,058.10 = 47,029.40 : x
  2. Step 2: Convert to fraction form
    64,849.40/97,058.10 = 47,029.40/x
  3. Step 3: Cross multiply
    64,849.40x = 97,058.10 × 47,029.40
  4. Step 4: Simplify right side
    64,849.40x = 4,564,584,208.14
  5. Step 5: Solve for x
    x = 4,564,584,208.14/64,849.40
  6. Step 6: Final answer
    x = 70,387.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.