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Finding the Fourth Proportional to 86,547, 119,434.98 and 46,803

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Solution

The fourth proportional to 86,547, 119,434.98 and 46,803 is: 64,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,547 : 119,434.98 = 46,803 : x
  2. Step 2: Convert to fraction form
    86,547/119,434.98 = 46,803/x
  3. Step 3: Cross multiply
    86,547x = 119,434.98 × 46,803
  4. Step 4: Simplify right side
    86,547x = 5,589,915,368.94
  5. Step 5: Solve for x
    x = 5,589,915,368.94/86,547
  6. Step 6: Final answer
    x = 64,588.20

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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.