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Finding the Fourth Proportional to 47,102.77, 70,347.58 and 42,203.89

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Solution

The fourth proportional to 47,102.77, 70,347.58 and 42,203.89 is: 63,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102.77 : 70,347.58 = 42,203.89 : x
  2. Step 2: Convert to fraction form
    47,102.77/70,347.58 = 42,203.89/x
  3. Step 3: Cross multiply
    47,102.77x = 70,347.58 × 42,203.89
  4. Step 4: Simplify right side
    47,102.77x = 2,968,941,633.60
  5. Step 5: Solve for x
    x = 2,968,941,633.60/47,102.77
  6. Step 6: Final answer
    x = 63,031.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.