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Finding the Fourth Proportional to 77,031.52, 115,468.00 and 37,539.77

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Solution

The fourth proportional to 77,031.52, 115,468.00 and 37,539.77 is: 56,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,031.52 : 115,468.00 = 37,539.77 : x
  2. Step 2: Convert to fraction form
    77,031.52/115,468.00 = 37,539.77/x
  3. Step 3: Cross multiply
    77,031.52x = 115,468.00 × 37,539.77
  4. Step 4: Simplify right side
    77,031.52x = 4,334,641,491.17
  5. Step 5: Solve for x
    x = 4,334,641,491.17/77,031.52
  6. Step 6: Final answer
    x = 56,271.01

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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.