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Finding the Fourth Proportional to 75,130.64, 103,681.80 and 41,597.84

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Solution

The fourth proportional to 75,130.64, 103,681.80 and 41,597.84 is: 57,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130.64 : 103,681.80 = 41,597.84 : x
  2. Step 2: Convert to fraction form
    75,130.64/103,681.80 = 41,597.84/x
  3. Step 3: Cross multiply
    75,130.64x = 103,681.80 × 41,597.84
  4. Step 4: Simplify right side
    75,130.64x = 4,312,938,927.31
  5. Step 5: Solve for x
    x = 4,312,938,927.31/75,130.64
  6. Step 6: Final answer
    x = 57,405.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.