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Finding the Fourth Proportional to 76,465, 105,521.70 and 42,931.72

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Solution

The fourth proportional to 76,465, 105,521.70 and 42,931.72 is: 59,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465 : 105,521.70 = 42,931.72 : x
  2. Step 2: Convert to fraction form
    76,465/105,521.70 = 42,931.72/x
  3. Step 3: Cross multiply
    76,465x = 105,521.70 × 42,931.72
  4. Step 4: Simplify right side
    76,465x = 4,530,228,078.32
  5. Step 5: Solve for x
    x = 4,530,228,078.32/76,465
  6. Step 6: Final answer
    x = 59,245.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.