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Finding the Fourth Proportional to 110,710.46, 165,935.64 and 51,421.16

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Solution

The fourth proportional to 110,710.46, 165,935.64 and 51,421.16 is: 77,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,710.46 : 165,935.64 = 51,421.16 : x
  2. Step 2: Convert to fraction form
    110,710.46/165,935.64 = 51,421.16/x
  3. Step 3: Cross multiply
    110,710.46x = 165,935.64 × 51,421.16
  4. Step 4: Simplify right side
    110,710.46x = 8,532,603,094.14
  5. Step 5: Solve for x
    x = 8,532,603,094.14/110,710.46
  6. Step 6: Final answer
    x = 77,071.34

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1.5x scale

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.