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Finding the Fourth Proportional to 76,368, 105,389.28 and 42,836.16

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Solution

The fourth proportional to 76,368, 105,389.28 and 42,836.16 is: 59,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,368 : 105,389.28 = 42,836.16 : x
  2. Step 2: Convert to fraction form
    76,368/105,389.28 = 42,836.16/x
  3. Step 3: Cross multiply
    76,368x = 105,389.28 × 42,836.16
  4. Step 4: Simplify right side
    76,368x = 4,514,472,060.36
  5. Step 5: Solve for x
    x = 4,514,472,060.36/76,368
  6. Step 6: Final answer
    x = 59,114.71

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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.