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Finding the Fourth Proportional to 76,106.68, 105,038.35 and 43,835.02

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Solution

The fourth proportional to 76,106.68, 105,038.35 and 43,835.02 is: 60,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.68 : 105,038.35 = 43,835.02 : x
  2. Step 2: Convert to fraction form
    76,106.68/105,038.35 = 43,835.02/x
  3. Step 3: Cross multiply
    76,106.68x = 105,038.35 × 43,835.02
  4. Step 4: Simplify right side
    76,106.68x = 4,604,357,800.83
  5. Step 5: Solve for x
    x = 4,604,357,800.83/76,106.68
  6. Step 6: Final answer
    x = 60,498.74

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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.