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Finding the Fourth Proportional to 75,582, 104,303.16 and 42,048

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Solution

The fourth proportional to 75,582, 104,303.16 and 42,048 is: 58,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,582 : 104,303.16 = 42,048 : x
  2. Step 2: Convert to fraction form
    75,582/104,303.16 = 42,048/x
  3. Step 3: Cross multiply
    75,582x = 104,303.16 × 42,048
  4. Step 4: Simplify right side
    75,582x = 4,385,739,271.68
  5. Step 5: Solve for x
    x = 4,385,739,271.68/75,582
  6. Step 6: Final answer
    x = 58,026.24

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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.