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Finding the Fourth Proportional to 76,298.99, 105,292.08 and 42,307.46

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Solution

The fourth proportional to 76,298.99, 105,292.08 and 42,307.46 is: 58,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,298.99 : 105,292.08 = 42,307.46 : x
  2. Step 2: Convert to fraction form
    76,298.99/105,292.08 = 42,307.46/x
  3. Step 3: Cross multiply
    76,298.99x = 105,292.08 × 42,307.46
  4. Step 4: Simplify right side
    76,298.99x = 4,454,639,936.46
  5. Step 5: Solve for x
    x = 4,454,639,936.46/76,298.99
  6. Step 6: Final answer
    x = 58,384.00

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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.