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Finding the Fourth Proportional to 76,319.95, 105,307.95 and 46,085.01

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Solution

The fourth proportional to 76,319.95, 105,307.95 and 46,085.01 is: 63,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,319.95 : 105,307.95 = 46,085.01 : x
  2. Step 2: Convert to fraction form
    76,319.95/105,307.95 = 46,085.01/x
  3. Step 3: Cross multiply
    76,319.95x = 105,307.95 × 46,085.01
  4. Step 4: Simplify right side
    76,319.95x = 4,853,117,928.83
  5. Step 5: Solve for x
    x = 4,853,117,928.83/76,319.95
  6. Step 6: Final answer
    x = 63,589.11

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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.