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Finding the Fourth Proportional to 97,291.32, 145,886.92 and 44,655

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Solution

The fourth proportional to 97,291.32, 145,886.92 and 44,655 is: 66,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,291.32 : 145,886.92 = 44,655 : x
  2. Step 2: Convert to fraction form
    97,291.32/145,886.92 = 44,655/x
  3. Step 3: Cross multiply
    97,291.32x = 145,886.92 × 44,655
  4. Step 4: Simplify right side
    97,291.32x = 6,514,580,412.60
  5. Step 5: Solve for x
    x = 6,514,580,412.60/97,291.32
  6. Step 6: Final answer
    x = 66,959.52

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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.