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Finding the Fourth Proportional to 64,854.24, 97,284 and 29,308.74

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Solution

The fourth proportional to 64,854.24, 97,284 and 29,308.74 is: 43,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854.24 : 97,284 = 29,308.74 : x
  2. Step 2: Convert to fraction form
    64,854.24/97,284 = 29,308.74/x
  3. Step 3: Cross multiply
    64,854.24x = 97,284 × 29,308.74
  4. Step 4: Simplify right side
    64,854.24x = 2,851,271,462.16
  5. Step 5: Solve for x
    x = 2,851,271,462.16/64,854.24
  6. Step 6: Final answer
    x = 43,964.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.