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Finding the Fourth Proportional to 51,592.40, 77,291.40 and 26,547.20

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Solution

The fourth proportional to 51,592.40, 77,291.40 and 26,547.20 is: 39,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,592.40 : 77,291.40 = 26,547.20 : x
  2. Step 2: Convert to fraction form
    51,592.40/77,291.40 = 26,547.20/x
  3. Step 3: Cross multiply
    51,592.40x = 77,291.40 × 26,547.20
  4. Step 4: Simplify right side
    51,592.40x = 2,051,870,254.08
  5. Step 5: Solve for x
    x = 2,051,870,254.08/51,592.40
  6. Step 6: Final answer
    x = 39,770.79

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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.