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Finding the Fourth Proportional to 83,308.24, 114,962.51 and 47,509.77

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Solution

The fourth proportional to 83,308.24, 114,962.51 and 47,509.77 is: 65,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.24 : 114,962.51 = 47,509.77 : x
  2. Step 2: Convert to fraction form
    83,308.24/114,962.51 = 47,509.77/x
  3. Step 3: Cross multiply
    83,308.24x = 114,962.51 × 47,509.77
  4. Step 4: Simplify right side
    83,308.24x = 5,461,842,171.17
  5. Step 5: Solve for x
    x = 5,461,842,171.17/83,308.24
  6. Step 6: Final answer
    x = 65,561.85

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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.