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Finding the Fourth Proportional to 73,887.50, 101,965.40 and 42,058.45

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Solution

The fourth proportional to 73,887.50, 101,965.40 and 42,058.45 is: 58,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,887.50 : 101,965.40 = 42,058.45 : x
  2. Step 2: Convert to fraction form
    73,887.50/101,965.40 = 42,058.45/x
  3. Step 3: Cross multiply
    73,887.50x = 101,965.40 × 42,058.45
  4. Step 4: Simplify right side
    73,887.50x = 4,288,506,062.66
  5. Step 5: Solve for x
    x = 4,288,506,062.66/73,887.50
  6. Step 6: Final answer
    x = 58,041.02

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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.