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Finding the Fourth Proportional to 51,646.64, 77,502.73 and 22,064.70

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Solution

The fourth proportional to 51,646.64, 77,502.73 and 22,064.70 is: 33,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.64 : 77,502.73 = 22,064.70 : x
  2. Step 2: Convert to fraction form
    51,646.64/77,502.73 = 22,064.70/x
  3. Step 3: Cross multiply
    51,646.64x = 77,502.73 × 22,064.70
  4. Step 4: Simplify right side
    51,646.64x = 1,710,074,389.58
  5. Step 5: Solve for x
    x = 1,710,074,389.58/51,646.64
  6. Step 6: Final answer
    x = 33,111.05

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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.