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Finding the Fourth Proportional to 42,808, 59,075.04 and 27,904

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Solution

The fourth proportional to 42,808, 59,075.04 and 27,904 is: 38,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,808 : 59,075.04 = 27,904 : x
  2. Step 2: Convert to fraction form
    42,808/59,075.04 = 27,904/x
  3. Step 3: Cross multiply
    42,808x = 59,075.04 × 27,904
  4. Step 4: Simplify right side
    42,808x = 1,648,429,916.16
  5. Step 5: Solve for x
    x = 1,648,429,916.16/42,808
  6. Step 6: Final answer
    x = 38,507.52

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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.