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Finding the Fourth Proportional to 76,359.96, 105,373.10 and 42,368.06

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Solution

The fourth proportional to 76,359.96, 105,373.10 and 42,368.06 is: 58,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,359.96 : 105,373.10 = 42,368.06 : x
  2. Step 2: Convert to fraction form
    76,359.96/105,373.10 = 42,368.06/x
  3. Step 3: Cross multiply
    76,359.96x = 105,373.10 × 42,368.06
  4. Step 4: Simplify right side
    76,359.96x = 4,464,453,823.19
  5. Step 5: Solve for x
    x = 4,464,453,823.19/76,359.96
  6. Step 6: Final answer
    x = 58,465.90

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1.5x scale

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.