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Finding the Fourth Proportional to 70,743.78, 97,655.63 and 42,444

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Solution

The fourth proportional to 70,743.78, 97,655.63 and 42,444 is: 58,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,743.78 : 97,655.63 = 42,444 : x
  2. Step 2: Convert to fraction form
    70,743.78/97,655.63 = 42,444/x
  3. Step 3: Cross multiply
    70,743.78x = 97,655.63 × 42,444
  4. Step 4: Simplify right side
    70,743.78x = 4,144,895,347.50
  5. Step 5: Solve for x
    x = 4,144,895,347.50/70,743.78
  6. Step 6: Final answer
    x = 58,590.24

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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.