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Finding the Fourth Proportional to 76,498.40, 105,564.36 and 42,509.28

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Solution

The fourth proportional to 76,498.40, 105,564.36 and 42,509.28 is: 58,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.40 : 105,564.36 = 42,509.28 : x
  2. Step 2: Convert to fraction form
    76,498.40/105,564.36 = 42,509.28/x
  3. Step 3: Cross multiply
    76,498.40x = 105,564.36 × 42,509.28
  4. Step 4: Simplify right side
    76,498.40x = 4,487,464,937.26
  5. Step 5: Solve for x
    x = 4,487,464,937.26/76,498.40
  6. Step 6: Final answer
    x = 58,660.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.