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Finding the Fourth Proportional to 76,473.01, 105,534.11 and 42,484.57

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Solution

The fourth proportional to 76,473.01, 105,534.11 and 42,484.57 is: 58,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473.01 : 105,534.11 = 42,484.57 : x
  2. Step 2: Convert to fraction form
    76,473.01/105,534.11 = 42,484.57/x
  3. Step 3: Cross multiply
    76,473.01x = 105,534.11 × 42,484.57
  4. Step 4: Simplify right side
    76,473.01x = 4,483,571,071.26
  5. Step 5: Solve for x
    x = 4,483,571,071.26/76,473.01
  6. Step 6: Final answer
    x = 58,629.46

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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.