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Finding the Fourth Proportional to 56,312.02, 77,710.57 and 30,818.40

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Solution

The fourth proportional to 56,312.02, 77,710.57 and 30,818.40 is: 42,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,312.02 : 77,710.57 = 30,818.40 : x
  2. Step 2: Convert to fraction form
    56,312.02/77,710.57 = 30,818.40/x
  3. Step 3: Cross multiply
    56,312.02x = 77,710.57 × 30,818.40
  4. Step 4: Simplify right side
    56,312.02x = 2,394,915,430.49
  5. Step 5: Solve for x
    x = 2,394,915,430.49/56,312.02
  6. Step 6: Final answer
    x = 42,529.38

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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.