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Finding the Fourth Proportional to 42,412.60, 59,455.40 and 42,412.60

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Solution

The fourth proportional to 42,412.60, 59,455.40 and 42,412.60 is: 59,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412.60 : 59,455.40 = 42,412.60 : x
  2. Step 2: Convert to fraction form
    42,412.60/59,455.40 = 42,412.60/x
  3. Step 3: Cross multiply
    42,412.60x = 59,455.40 × 42,412.60
  4. Step 4: Simplify right side
    42,412.60x = 2,521,658,098.04
  5. Step 5: Solve for x
    x = 2,521,658,098.04/42,412.60
  6. Step 6: Final answer
    x = 59,455.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.