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Finding the Fourth Proportional to 65,394.88, 97,953.10 and 49,423.98

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Solution

The fourth proportional to 65,394.88, 97,953.10 and 49,423.98 is: 74,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394.88 : 97,953.10 = 49,423.98 : x
  2. Step 2: Convert to fraction form
    65,394.88/97,953.10 = 49,423.98/x
  3. Step 3: Cross multiply
    65,394.88x = 97,953.10 × 49,423.98
  4. Step 4: Simplify right side
    65,394.88x = 4,841,232,055.34
  5. Step 5: Solve for x
    x = 4,841,232,055.34/65,394.88
  6. Step 6: Final answer
    x = 74,030.75

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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.