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Finding the Fourth Proportional to 70,508.19, 105,762.65 and 23,761.47

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Solution

The fourth proportional to 70,508.19, 105,762.65 and 23,761.47 is: 35,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.19 : 105,762.65 = 23,761.47 : x
  2. Step 2: Convert to fraction form
    70,508.19/105,762.65 = 23,761.47/x
  3. Step 3: Cross multiply
    70,508.19x = 105,762.65 × 23,761.47
  4. Step 4: Simplify right side
    70,508.19x = 2,513,075,916.29
  5. Step 5: Solve for x
    x = 2,513,075,916.29/70,508.19
  6. Step 6: Final answer
    x = 35,642.33

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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.