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Finding the Fourth Proportional to 70,417.68, 105,626.60 and 17,827.16

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Solution

The fourth proportional to 70,417.68, 105,626.60 and 17,827.16 is: 26,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,417.68 : 105,626.60 = 17,827.16 : x
  2. Step 2: Convert to fraction form
    70,417.68/105,626.60 = 17,827.16/x
  3. Step 3: Cross multiply
    70,417.68x = 105,626.60 × 17,827.16
  4. Step 4: Simplify right side
    70,417.68x = 1,883,021,681.19
  5. Step 5: Solve for x
    x = 1,883,021,681.19/70,417.68
  6. Step 6: Final answer
    x = 26,740.75

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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.